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Mathematical concept
of mathematics, an approximate fibration is a sort of fibration such that the homotopy lifting property holds only approximately. The notion was introduced
Approximate_fibration
Concept in algebraic topology
following commutative diagram shows the situation: A fibration (also called Hurewicz fibration) is a mapping p : E → B {\displaystyle p\colon E\to B}
Fibration
especially homotopy theory, a minimal fibration is used to approximate fibrations between presheaves. A minimal fibration has a defining property that an equivalence
Minimal_fibration
minimal fibrations are the same. The equivalence relation those fibers define is called the fibration symmetry of G {\displaystyle G} . The fibration displayed
Fibration_symmetry
{\displaystyle \pi :N\rightarrow M} , then π {\displaystyle \pi } is an approximate fibration. The conjecture was first made in a paper by R. H. Bing and Karol
Bing–Borsuk_conjecture
Mathematics glossary
Situs. annulus The annulus theorem. approximate fibration 1. An approximate fibration, a generalization of a fibration and a projection in a locally trivial
Glossary of algebraic topology
Glossary_of_algebraic_topology
Light, strong and rigid composite material
Carbon fiber (or fibre) reinforced polymers are extremely strong and light fiber-reinforced plastics that contain carbon fibers. CFRPs can be expensive
Carbon fiber reinforced polymer
Carbon_fiber_reinforced_polymer
Artificially manufactured fibers, often based on polymers
Synthetic fibers or synthetic fibres (in British English; see spelling differences) are fibers made by humans through chemical synthesis, as opposed to
Synthetic_fiber
Bast fiber from the genus ''Corchorus''
Jute (/dʒuːt/ JOOT) is a long, rough, shiny bast fibre that can be spun into coarse, strong threads. It is produced from flowering plants in the genus
Jute
Material fibers about 5–10 μm in diameter composed of carbon
Carbon fibers or carbon fibres (alternatively CF, graphite fiber or graphite fibre) are fibers about 5 to 10 micrometers (0.00020–0.00039 in) in diameter
Carbon_fibers
Light-conducting fiber
An optical fiber, or optical fibre, is a flexible glass or plastic fiber that can transmit light from one end to the other. Such fibers are widely used
Optical_fiber
Protein fiber made by spiders
conditions are loosely approximated. Fibres created using this method may need encouragement to solidify by removing water from the fibre with chemicals such
Spider_silk
Broadband network architecture term
Fiber to the x (FTTX; also spelled "fibre") or fiber in the loop is a generic term for any broadband network architecture using optical fiber to provide
Fiber_to_the_x
This is a list of terrestrial fibre optic cable projects in Africa. While submarine communications cables are used to connect countries and continents
List of terrestrial fibre optic cable projects in Africa
List_of_terrestrial_fibre_optic_cable_projects_in_Africa
Australian beef extract
added to hot water and served as a beverage. Energy, including dietary fibre 401 kJ Moisture 56.6 g Protein 16.6 g Nitrogen 2.66 g Fat 0.2 g Ash 19.8
Bonox
Cable assembly containing one or more optical fibers that are used to carry light
code is followed. Each 12-fiber bundle or element within a Cable Optical Fibre 200/201 cable is colored as follows: Each element is in a tube within the
Fiber-optic_cable
Fibers obtained from natural sources
Natural fibers or natural fibres (see spelling differences) are fibers that are produced by geological processes or obtained from the bodies of plants
Natural_fiber
IBM name for ANSI FC-SB-3 protocol
FICON (Fibre Connection) is the IBM proprietary name for the ANSI FC-SB-3 Single-Byte Command Code Sets-3 Mapping Protocol for Fibre Channel (FC) protocol
FICON
Domesticated plant species not part of mainstream agriculture
or underdeveloped. Three crops—maize, wheat, and rice—account for approximately 50% of the world's consumption of calories and protein, and about 95%
Neglected and underutilized crop
Neglected_and_underutilized_crop
Species of flowering plant
core fibre in a single growing season. In contrast, 1-acre (4,000 m2) of forest (in the US) produces approximately 1.5 to 3.5 tons of usable fibre per
Kenaf
Cellulose-based semi-synthetic fiber
hydroxide (typically 16–19% by mass) to form alkali cellulose, which has the approximate formula [C6H9O4−ONa]n. This material is allowed to depolymerize to an
Rayon
New Zealand merino wool clothing company
conceived and designed around the philosophy of sustainability, using natural fibres, environmental and social ethics, and animal welfare. The company began
Icebreaker_(clothing)
Middle East. With a capacity of up to 3.2Tbit/s and a total length of approximately 10,000 km, EPEG offers route diversity passing through Frankfurt across
Europe-Persia_Express_Gateway
Mathematical description of fluid movements
the dimensions of pores through or between the endothelial cells. This fibre matrix endocapillary layer is called the endothelial glycocalyx. The Starling
Starling_equation
Unit of length; one millionth of a metre
and for grading wool by the diameter of the fibres. The width of a single human hair ranges from approximately 20 to 200 μm. Between 1 μm and 10 μm: 1–10 μm
Micrometre
1988, Wolfgang Hoffmann developed the design and the first prototypes. Approximately 250 professionally manufactured vehicles left the workshop in Hohenfurch
Hoffmann_2CV
colours from the European RAL colour standard. The visual samples are approximate and informative only. Below is a list of RAL Classic colours from the
List_of_RAL_colours
Length of braided strands
necessary for building their monuments. Starting from approximately 2800 BC, rope made of hemp fibres was in use in China. Rope and the craft of rope making
Rope
Axons that connect the two hemispheres of the brain
all mammals. Using diffusion tensor imaging, researchers were able to approximate the location of the anterior commissure where it crosses the midline
Commissural_fiber
2021 browser game
to solve puzzles consecutively. Originally, the game included all (approximately 13,000) five-letter words in the English language, but Wardle found
Wordle
Ukrainian defence technology company
month to over 100 units per day by mid-2025, with each drone costing approximately US$55,000 to manufacture. In 2025, Fire Point unveiled the FP-5 "Flamingo"
Fire_Point_(Ukrainian_firm)
Branch of the Ukrainian military
footage of a laser weapon system, called “Tryzub”, in use destroying a fibre optic FPV drone. On 9 July 2025, Ukrainian C-in-C Oleksandr Syrskyi claimed
Unmanned Systems Forces of Ukraine
Unmanned_Systems_Forces_of_Ukraine
Fibre saturation point is a term used in wood mechanics and especially wood drying, to denote the point in the drying process at which only water bound
Fibre_saturation_point
Long projection on a neuron that conducts signals to other neurons
Greek: ἄξων, romanized: áxōn, lit. 'axis'; also called a nerve fiber or fibre) is a long slender projection of a nerve cell or neuron found in most animals
Axon
aboard the research vessel, dying in the process. The squid measured approximately 1.4 m (4.6 ft) in mantle length and 3.5 m (11 ft) to the tips of the
List of giant squid specimens and sightings (2001–2014)
List_of_giant_squid_specimens_and_sightings_(2001–2014)
Building material used to cover the exterior of a building
Fiber cement siding (also known as "fibre cement cladding" in the United Kingdom, "fibro" in Australia, and by the proprietary name "Hardie Plank" in
Fiber_cement_siding
Adaptations of marine vertebrates to diving
dependent upon prey density. The efficiency of a blue whale lunge is approximately 30 times higher at krill densities of 4.5 kg/m3 than at low krill densities
Physiology of underwater diving
Physiology_of_underwater_diving
Distorted model of the body corresponding to sensory and motor nerve density
functions, and/or sensory functions, for different parts of the body. Nerve fibres—conducting somatosensory information from all over the body—terminate in
Cortical_homunculus
Pineapple-based vegetable leather
trade name for a non-biodegradable leather alternative made from cellulose fibres extracted from pineapple leaves, PLA (polylactic acid), and petroleum-based
Piñatex
1963–1969 Welsh nationalist terrorist group
4:00 a.m. and was estimated by bomb disposal experts to have contained approximately 20 lb of gelignite. This was the first strike in a long-term strategy
Mudiad_Amddiffyn_Cymru
Carcinogenic fibrous silicate mineral
all of which are composed of long and thin fibrous crystals, with each fibre (particulate with length substantially greater than width) composed of many
Asbestos
Amazon satellite constellation and internet service
the Amazon board of directors acted in bad faith when procuring the approximately $10 billion in launch contracts for the constellation, which amounted
Amazon_Leo
Canadian telecommunications project
Mackenzie Valley Fibre Link (MVFL) is a project in Inuvik, Northwest Territories commissioned by the Government of Northwest Territories and built by
Mackenzie_Valley_Fibre_Link
Natural animal fiber, soft wool of the camel
generally refers to the fibre (and cloth) that may be made from either pure camel hair or a blend of camel hair and another fibre. Camel hair has two components:
Camel_hair
Open conjecture in multiplicative Diophantine approximation
obtained along fibres. Chow and Agamemnon Zafeiropoulos proved such a result on a full-dimensional set of pairs of badly approximable numbers on a vertical
Littlewood_conjecture
Solar car racing team of the University of New South Wales
solar array consisting of 318 monocrystalline silicon cells with an approximate efficiency of 22%. VIolet was designed with a greater focus on practicality
UNSW_Sunswift
Large bag made of rough fiber, often used for storage and transport
burlap (hessian fabric) formed from jute, hemp, sisal, or other natural fibres, usually in the crude spun form of tow. Modern-day versions of these sacks
Gunny_sack
Textile fiber from the hair of sheep or other mammals
while the scales contribute to felting. Wool is usually approximately circular in cross-section. Fibre diameter, staple length, crimp, strength, and colour
Wool
Motor vehicle
little as 6.5 seconds and has a top speed from 110 mph (180 km/h) to approximately 130 mph (210 km/h) (governed), respectively. In addition to the engine
Range_Rover_(L322)
Optical fiber designed to carry only a single mode of light, the transverse mode
single-mode operation occurs for a normalized frequency, V, less than approximately 2.405 g + 2 g {\displaystyle 2.405{\sqrt {\frac {g+2}{g}}}} , where
Single-mode_optical_fiber
Building materials company
materials for drywall construction, plasterboard, cement boards, mineral fibre acoustic boards, dry mortars with gypsum for internal plaster and cement-based
Knauf
claimed to have developed a FPV drone with a 50 kilometre range, using a fibre optic cable spool weighing less than 4 kilograms. Poland's Central Investigation
Timeline of the Russo-Ukrainian war (1 June 2025 – 31 August 2025)
Timeline_of_the_Russo-Ukrainian_war_(1_June_2025_–_31_August_2025)
System for the calculation of the available energy of foods
excretion}}}{\text{intake}}},} wherever faecal excretion is small, will approximate to unity and thus these coefficients have a low variance and have the
Atwater_system
Fiber made from spun molten minerals
in the United States in 1942 but was not commercially viable until approximately 1953. More forms of mineral wool became available in the 1970s and 1980s
Mineral_wool
SI derived unit of pressure
Approximate Young's modulus for common substances Material Young's modulus (GPa) Nylon 6 2–4 Hemp fibre 35 Aluminium 69 Tooth enamel 83 Copper 117 Structural
Pascal_(unit)
Telecommunications company in Hong Kong
offering voice, multimedia and mobile broadband services, as well as fixed fibre broadband services for both consumer and corporate markets. SmarTone spearheaded
SmarTone
Most abundant structural protein in animals
used to make up larger collagen aggregates, such as fibrils. It is approximately 300 nm long and 1.5 nm in diameter, and it is made up of three polypeptide
Collagen
Indian telecommunications company
Tyco Global Network, an undersea fibre-optic cable system spanning approximately 60,000 kilometres, for approximately US$130 million. The acquisition formed
Tata_Communications
Indian defense projects under DRDO
the Indian Air Force – ASLESHA: The ASLESHA radars have a range of approximately 50 km against small fighter-sized targets and will be able to determine
Projects_of_DRDO
Backing board used in building construction
boards and Fibre cement. Cement bonded particle boards have treated wood flakes as reinforcement, whereas cement fibre boards have cellulose fibre, which
Cement_board
Italian multinational corporation
electrical cables for use in the energy and telecom sectors and for optical fibres. Prysmian is in Europe with 48 plants, 23 in North America, 13 in LATAM
Prysmian_Group
Species of wasp
nest work, pulp foraging, carbohydrate foraging and protein foraging. Approximately 61 percent of the wasps observed perform more than two of these tasks
Vespula_germanica
Supermini car
the side panel over the doors including the A- and D-pillars weighs approximately 2 kg (4 lb). A 2002 model A2 with standard equipment has a mass of 895 kg
Audi_A2
Extinct species of bird
one of the tallest birds ever to exist, able to stretch its head to approximately 3 metres. Dinornis novaezealandiae inhabited the North Island of New
North_Island_giant_moa
Motor vehicle
modified version of the S54B32 3.2-litre straight-six engine, producing approximately 294 kW (394 bhp). The car is made by BMW's M Division and called the
BMW_Z4_(E85)
Submersible that imploded in 2023
per square inch (29.54 MPa; 291.6 atm), corresponding to a depth of approximately 3,000 metres (9,800 ft). After the disappearance of Titan in 2023, the
Titan_(submersible)
American multinational food company
chocolate flavors) Kream Krunch Krumbles cereal: Manufactured from approximately the 1920s to the mid-1960s; based on shreds of wheat but different from
Kellogg's
Industry which produces textiles
processing of textile (70 per cent). Approximately 25 per cent of energy in the total textile production like fibre production, spinning, twisting, weaving
Textile_manufacturing
Broadband network from Alphabet in the United States
additional costs. According to a Goldman Sachs report, Google could connect approximately 830,000 homes a year at the cost of $1.25 billion a year, or a total
Google_Fiber
Data storage hardware and software producer
data storage, particularly data storage arrays that utilize the iSCSI and Fibre Channel protocols, and includes data backup and data protection features
Nimble_Storage
Legume seed cooking water
carbohydrates (sugars, soluble fibre) and proteins. The ratio of carbohydrate to protein in aquafaba is approximately the same ratio as is found in the
Aquafaba
Substance used to remove limescale from surfaces
corrosive to the eyes and skin and can also attack and degrade clothing fibres, so appropriate protection such as rubber gloves and plastic aprons should
Descaling_agent
Motor vehicle
Compared with the prototype models, the production car incorporates approximately 95% new components, including revisions to the powertrain, chassis,
McMurtry_Spéirling
Women's undergarments including sleepwear
These fabrics can be made of various natural fibres like silk, cotton or of various synthetic fibres such as polyester or nylon. The word lingerie is
Lingerie
Species of flowering plant
variable fibre content, the fibre yields vary between 0.2 and 7 dt / ha, but the yields are normally in the range between 2 and 4 dt / ha. Fibre varieties
Urtica_dioica
Italian flagship sports car
One technology, such as a carbon-fibre body, Formula One-style automated-shift manual transmission, and carbon fibre-reinforced silicon carbide (C/SiC)
Ferrari_Enzo
1990s serial murders in Western Australia
men at a bus stop saw Glennon walking south along Stirling Highway at approximately 12:30 am, and observed her interacting with an unidentified light-coloured
Claremont_serial_killings
Slight scorching, burn or treatment with flame
gas fire, or a deliberate method of treatment or removal of hair or other fibres. A singe is a treatment available at a barber's. A lit taper (candle) or
Singe
Icelandic multinational Internet-deployment business
procurement and project management of the construction of approximately 450,000 metres of fibre optic networks in 50 cities and towns together with the
Industria_(company)
Organic chemical that functions both as a hormone and a neurotransmitter
intravenously. Since the half-life of dopamine in plasma is very short—approximately one minute in adults, two minutes in newborn infants and up to five
Dopamine
Important Biological tissue that allows movement
adipose tissue (fat), which is 0.9196 kg/liter. This makes muscle tissue approximately 15% denser than fat tissue. Skeletal muscle is a highly oxygen-consuming
Muscle
High-performance version of the BMW 3 Series automobile
fibre interior trim, and the badges on the side moulding and dash read "BMW Motorsport International". Although BMW promised to build approximately 100
BMW_M3
Biological material from living or recently living organisms
2017 estimate of the total amount of biomass within the biosphere is approximately 550 gigatons of carbon, with a significant majority of this being terrestrial
Biomass
of life. 15 July Scientists announce the discovery of a lunar cave, approximately 250 miles (400 km) from Apollo 11's landing site. China announces a
2024_in_science
Finnish forest industry company
United Paper Mills Ltd in 1996. UPM consists of six business areas: UPM Fibres, UPM Energy, UPM Raflatac, UPM Specialty Papers, UPM Communication Papers
UPM_(company)
Disorders of nerves outside the brain and spinal cord
that can fluctuate over time. SCN9A gene mutations have been found in approximately 30 percent of individuals with small fiber neuropathy; SCN10A gene mutations
Small_fiber_neuropathy
Gastrointestinal peptide hormone involved in glucose homeostasis
24.11 (NEP 24.11) and renal clearance, resulting in a half-life of approximately 2 minutes. Consequently, only 10–15% of GLP-1 reaches circulation intact
Glucagon-like_peptide-1
Czech chemist and inventor (1913–1998)
modern soft contact lenses. Wichterle was the author or co-author of approximately 180 patents and over 200 publications. The studies and independent books
Otto_Wichterle
Genus of flowering plants
Linum (flax) is a genus of approximately 200 species in the flowering plant family Linaceae. They are native to temperate and subtropical regions of the
Linum
Genus of flowering plants
only to varieties cultivated for non-drug use. Hemp has long been used for fibre, seeds and their oils, leaves for use as vegetables, and juice. Industrial
Cannabis
Chemical acid found in vinegar
acetate for photographic film, polyvinyl acetate for wood glue, and synthetic fibres and fabrics. In households, diluted acetic acid is often used in descaling
Acetic_acid
Motorcycle stunt rider
different year models with differing modifications to each, including a carbon fibre GSX-R1000 K4 in Ghost Rider Goes Crazy in Europe and a 280+ brake horsepower
Ghost_Rider_(motorcyclist)
high-speed plan in order to request a full-fibre upgrade, extending eligibility to all of the approximately 860,000 customers in the FTTC footprint. Separately
Internet_in_Australia
to 70% larger than the largest currently known specimens, reaching approximately 15,000 (± 3750) kg of body mass. A study on the phylogenetic relationships
2024 in archosaur paleontology
2024_in_archosaur_paleontology
Field-equations in general relativity
holes and the expanding universe. Further simplification is achieved in approximating the spacetime as having only small deviations from flat spacetime, leading
Einstein_field_equations
through the skin of the dinosaur Psittacosaurus from China showing a complex fibre architecture". Proceedings of the Royal Society B: Biological Sciences.
List of dinosaur specimens with preserved soft tissue
List_of_dinosaur_specimens_with_preserved_soft_tissue
Holding company based in Singapore
infrastructure investment. The port is expected to have an aggregate impact of approximately US$361b on the Nigerian economy over the 45-year concession period.
Tolaram_Group
Computer hardware device
32 Gbit/s. The major Fibre Channel HBA manufacturers are QLogic and Broadcom. As of mid-2009, these vendors shared approximately 90% of the market. Other
Host_adapter
Italian businessman
mobile segment in downloads, and covering around 70% of the country with fibre. Before his appointment as CEO, he was already on the board of directors
Flavio_Cattaneo
Building complex in Mecca, Saudi Arabia
prayer calls to a distance of 7 km (4.3 mi) away and across an area of approximately 160 km2 (62 sq mi). The Clock Towers complex had two fire incidents
The_Clock_Towers
travel, tourism, insurance
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
APPROXIMATE FIBRATION
travel, tourism, insurance