What does cofibration mean?
Definitions for cofibration
cofi·bra·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word cofibration.
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Wiktionary
cofibrationnoun
A particular form of mapping
Wikipedia
Cofibration
In mathematics, in particular homotopy theory, a continuous mapping i : A → X {\displaystyle i:A\to X} ,where A {\displaystyle A} and X {\displaystyle X} are topological spaces, is a cofibration if it lets homotopy classes of maps [ A , S ] {\displaystyle [A,S]} be extended to homotopy classes of maps [ X , S ] {\displaystyle [X,S]} whenever a map f ∈ Hom Top ( A , S ) {\displaystyle f\in {\text{Hom}}_{\textbf {Top}}(A,S)} can be extended to a map f ′ ∈ Hom Top ( X , S ) {\displaystyle f'\in {\text{Hom}}_{\textbf {Top}}(X,S)} where f ′ ∘ i = f {\displaystyle f'\circ i=f} , hence their associated homotopy classes are equal [ f ] = [ f ′ ∘ i ] {\displaystyle [f]=[f'\circ i]} . This type of structure can be encoded with the technical condition of having the homotopy extension property with respect to all spaces S {\displaystyle S} . This definition is dual to that of a fibration, which is required to satisfy the homotopy lifting property with respect to all spaces. This duality is informally referred to as Eckmann–Hilton duality. Because of the generality this technical condition is stated, it can be used in model categories.
Wikidata
Cofibration
In mathematics, in particular homotopy theory, a continuous mapping where A and X are topological spaces, is a cofibration if it satisfies the homotopy extension property with respect to all spaces Y. The name is because the dual condition, the homotopy lifting property, defines fibrations.
Numerology
Chaldean Numerology
The numerical value of cofibration in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of cofibration in Pythagorean Numerology is: 4
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"cofibration." Definitions.net. STANDS4 LLC, 2024. Web. 4 May 2024. <https://www.definitions.net/definition/cofibration>.
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