Category:Contractible Spaces
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This category contains results about Contractible Spaces.
Definitions specific to this category can be found in Definitions/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.
Subcategories
This category has only the following subcategory.