Category:Homotopy Classes

This category contains results about Homotopy Classes.
Definitions specific to this category can be found in Definitions/Homotopy Classes.

Let $X$ and $Y$ be topological spaces.

Let $K \subseteq X$ be any subset.

Let $f : X \to Y$ be a continuous mapping.

The $K$-homotopy class of $f$ is the equivalence class of $f$ under the equivalence relation defined by homotopy relative to $K$.