Definition of Cofibration. Meaning of Cofibration. Synonyms of Cofibration

Here you will find one or more explanations in English for the word Cofibration. Also in the bottom left of the page several parts of wikipedia pages related to the word Cofibration and, of course, Cofibration synonyms and on the right images related to the word Cofibration.

Definition of Cofibration

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Meaning of Cofibration from wikipedia

- between topological spaces i : A → X {\displaystyle i:A\to X} , is a cofibration if it has the homotopy extension property with respect to all topological...
- and the notion of a cofibration there is then often implicit. A fibration in the sense of Hurewicz is the dual notion of a cofibration: that is, a map p...
- (Hurewicz) cofibration if it has the homotopy extension property for maps to any space. This is one of the central concepts of homotopy theory. A cofibration f...
- of morphisms ('arrows') called 'weak equivalences', 'fibrations' and 'cofibrations' satisfying certain axioms relating them. These abstract from the category...
- homotopy defined on a larger space. The homotopy extension property of cofibrations is dual to the homotopy lifting property that is used to define fibrations...
- map of topological spaces by a homotopy equivalent cofibration. Note that pointwise, a cofibration is a closed inclusion. Mapping cylinders are quite...
- with classes of morphisms called weak equivalences, fibrations, and cofibrations, satisfying several axioms. The ****ociated homotopy category of a model...
- characterized by having a right lifting property with respect to any trivial cofibration in the category. This property makes fibrant objects the "correct" objects...
- commutative ring and I {\displaystyle I} is an ideal of R . {\displaystyle R.} Cofibration – continuous mapping between topological spacesPages displaying wikidata...
- Waldhausen, who introduced this notion (under the term category with cofibrations and weak equivalences) to extend the methods of algebraic K-theory to...