Category:Definitions/Contractible Spaces
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This category contains definitions related to Contractible Spaces.
Related results can be found in Category:Contractible Spaces.
Let $X$ be a topological space.
Definition 1
$X$ is called contractible if and only if the identity map $\operatorname{id}_X$ is homotopic to a constant map $X \to X$.
Definition 2
$X$ is called contractible if and only if it is homotopy equivalent to a point.
Pages in category "Definitions/Contractible Spaces"
The following 3 pages are in this category, out of 3 total.