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