Category:Definitions/Topological Distinguishability
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This category contains definitions related to Topological Distinguishability.
Related results can be found in Category:Topological Distinguishability.
Let $T = \struct {S, \tau}$ be a topological space.
Let $x, y \in S$.
Then $x$ and $y$ are topologically distinguishable if and only if they do not have exactly the same neighborhoods.
That is, either:
- $\exists U \in \tau: x \in U \subseteq N_x \subseteq S: y \notin N_x$
or:
- $\exists V \in \tau: y \in V \subseteq N_y \subseteq S: x \notin N_y$
or both.
Pages in category "Definitions/Topological Distinguishability"
The following 3 pages are in this category, out of 3 total.