-
English
-
Russian
-
German
-
English
-
Russian
-
German
Cofiber
UK
/ˈkəʊfaɪbə/
US
/ˈkoʊfaɪbɚ/
Translation of "cofiber" into Russian
cofiber
Noun
UK
/ˈkəʊfaɪbə/
US
/ˈkoʊfaɪbɚ/
cofiber
cofibers pl
кофибра
The cofiber of a map in topology is an important concept.
Кофибра отображения в топологии является важным понятием.
Definitions
cofiber
Noun
UK
/ˈkəʊfaɪbə/
US
/ˈkoʊfaɪbɚ/
In mathematics, particularly in algebraic topology, a cofiber is the quotient space obtained from a topological space by collapsing a subspace to a point.
The cofiber of the inclusion map from a subspace A to a space X is the space X/A.
In homological algebra or abstract homotopy theory, an object that serves as a homotopy cokernel of a morphism, generalizing the topological construction.
The distinguished triangle A → B → cofiber(f) → ΣA shows how the cofiber of f behaves in the derived category.
cofiber
Adjective
UK
/ˈkəʊfaɪbə/
US
/ˈkoʊfaɪbɚ/
Relating to, involving, or constituting a cofiber in algebraic topology or homological algebra.
The cofiber sequence offers insight into the stable homotopy groups of spheres.