Category:Sigma-Compact Spaces

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This category contains results about $\sigma$-compact spaces.

Let $T = \struct {S, \tau}$ be a topological space.

$T$ is $\sigma$-compact if and only if $S$ is the union of the underlying sets of countably many compact subspaces of $T$.

Subcategories

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

A

Arens-Fort Space is Sigma-Compact‎ (3 P)

C

Countable Discrete Space is Sigma-Compact‎ (3 P)

S

Sigma-Locally Compact Spaces‎ (empty)

W

Weakly Sigma-Locally Compact Spaces‎ (6 P)

Pages in category "Sigma-Compact Spaces"

The following 19 pages are in this category, out of 19 total.

A

Arens-Fort Space is Sigma-Compact

C

D

Double Pointed Fortissimo Space is not Sigma-Compact

E

F

H

Hilbert Sequence Space is not Sigma-Compact

I

Infinite Product of Sigma-Compact Spaces is not always Sigma-Compact

R

S

U

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Compact Spaces