Category:T0 Spaces
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This category contains results about T0 Spaces in the context of Topology.
$\struct {S, \tau}$ is a Kolmogorov space or $T_0$ space if and only if:
- $\forall x, y \in S$ such that $x \ne y$, either:
- $\exists U \in \tau: x \in U, y \notin U$
- or:
- $\exists U \in \tau: y \in U, x \notin U$
Subcategories
This category has the following 5 subcategories, out of 5 total.
Pages in category "T0 Spaces"
The following 33 pages are in this category, out of 33 total.
C
E
- Either-Or Topology is T0
- Equivalence of Definitions of T0 Space
- Excluded Point Space is T0
- Excluded Set Topology is not T0
- Existence of Hausdorff Space which is not T3, T4 or T5
- Existence of Topological Space which satisfies no Separation Axioms but T0
- Existence of Topological Space which satisfies no Separation Axioms but T0 and T1