# Category:Sequentially Compact Spaces

This category contains results about Sequentially Compact Spaces.

Let $T = \left({S, \tau}\right)$ be a topological space.

Let $H \subseteq S$.

Then $H$ is sequentially compact in $T$ if and only if every infinite sequence in $H$ has a subsequence which converges to a point in $S$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.