Definition of Cofibration. Meaning of Cofibration. Synonyms of Cofibration

- 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...
- map of topological spaces by a homotopy equivalent cofibration. Note that pointwise, a cofibration is a closed inclusion. Mapping cylinders are quite...
- 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...
- characterized by having a right lifting property with respect to any trivial cofibration in the category. This property makes fibrant objects the "correct" objects...
- with classes of morphisms called weak equivalences, fibrations, and cofibrations, satisfying several axioms. The ****ociated homotopy category of a model...
- 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...