Definition of Cofiber. Meaning of Cofiber. Synonyms of Cofiber

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

Definition of Cofiber

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Meaning of Cofiber from wikipedia

- {\displaystyle C_{f}} . Alternatively, it is also called the homotopy cofiber and also notated C f {\displaystyle Cf} . Its dual, a fibration, is called...
- replacement. For a cofibration A → X {\displaystyle A\to X} we define the cofiber to be the induced quotient space X / A {\displaystyle X/A} . In general...
- In category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the...
- {\displaystyle C(f)} denote a mapping cone of f, (i.e., the cofiber of the map f), so that we have a (cofiber) sequence: A → B → C ( f ) {\displaystyle A\to B\to...
- morphism in it admits a fiber and cofiber. (iii) A triangle in it is a fiber sequence if and only if it is a cofiber sequence. The homotopy category of...
- exact sequences in an abelian category, as well as fiber sequences and cofiber sequences in topology. Much of homological algebra is clarified and extended...
- (X,\Omega Y).} These functors are used to construct fiber sequences and cofiber sequences. Namely, if f : X → Y {\displaystyle f:X\to Y} is a map, the...
- sequence of homotopy groups. There is a dual construction called the homotopy cofiber. The homotopy fiber has a simple description for a continuous map f : A...
- for the cofiber of τ as the algebraic Novikov spectral sequence for BP*, which allows one to deduce motivic Adams differentials for the cofiber of τ from...
- \mathbb {L} _{R}\to \mathbb {L} _{S}} . Then, for each R → S, there is the cofiber sequence of S-modules L S / R → L R ⊗ R L S → L S . {\displaystyle \mathbb...