Category:Sequentially Compact Spaces

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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 $S$.

Pages in category "Sequentially Compact Spaces"

The following 29 pages are in this category, out of 29 total.