Whitehead theorem
id:
whitehead-theorem-280-2384663
title:
Whitehead theorem
text:
In homotopy theory, the Whitehead theorem states that if a continuous mapping f between CW complexes X and Y induces isomorphisms on all homotopy groups, then f is a homotopy equivalence. This result was proved by J. H. C. Whitehead in two landmark papers from 1949, and provides a justification for working with the concept of a CW complex that he introduced there. It is a model result of algebraic topology, in which the behavior of certain algebraic invariants determines a topological property o
brand slug:
wiki
category slug:
encyclopedia
description:
When a mapping that induces isomorphisms on all homotopy groups is a homotopy equivalence
original url:
https://en.wikipedia.org/wiki/Whitehead_theorem
date created:
date modified:
2022-05-24T08:26:34Z
main entity:
{"identifier":"Q3527185","url":"https://www.wikidata.org/entity/Q3527185"}
image:
fields total:
13
integrity:
14