# Category:Regular Spaces

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This category contains results about **Regular Spaces** in the context of **Topology**.

$\struct {S, \tau}$ is a **regular space** if and only if:

- $\struct {S, \tau}$ is a $T_3$ space
- $\struct {S, \tau}$ is a $T_0$ (Kolmogorov) space.

## Subcategories

This category has only the following subcategory.

## Pages in category "Regular Spaces"

The following 21 pages are in this category, out of 21 total.

### E

### L

- User:Leigh.Samphier/Topology/Nagata-Smirnov Metrization Theorem
- User:Leigh.Samphier/Topology/Paracompact T2 Space is Regular
- User:Leigh.Samphier/Topology/Regular Space with Sigma-Locally Finite Basis is Normal Space
- User:Leigh.Samphier/Topology/Regular Space with Sigma-Locally Finite Basis is Perfectly Normal Space

### M

### R

- Regular Lindelöf Space is Normal Space
- Regular Paracompact Space is not necessarily Metrizable
- Regular Second-Countable Space is Homeomorphic to Subspace of Hilbert Cube
- Regular Space is Completely Hausdorff Space
- Regular Space is Preserved under Homeomorphism
- Regular Space is Semiregular Space
- Regular Space is T2 Space