# Category:Regular Spaces

Jump to navigation
Jump to search

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

Definitions specific to this category can be found in **Definitions/Regular Spaces**.

$\struct {S, \tau}$ 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 the following 3 subcategories, out of 3 total.

## Pages in category "Regular Spaces"

The following 20 pages are in this category, out of 20 total.

### E

### 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
- Regular Space with Sigma-Locally Finite Basis is Normal Space
- Regular Space with Sigma-Locally Finite Basis is Perfectly Normal Space