Category:Neighborhoods
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This category contains results about Neighborhoods.
Definitions specific to this category can be found in Definitions/Neighborhoods.
Let $A \subseteq S$ be a subset of $S$.
A neighborhood of $A$, which can be denoted $N_A$, is any subset of $S$ containing an open set of $T$ which itself contains $A$.
That is:
- $\exists U \in \tau: A \subseteq U \subseteq N_A \subseteq S$
Pages in category "Neighborhoods"
The following 31 pages are in this category, out of 31 total.
B
I
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- Neighborhood Basis in Cartesian Product under Chebyshev Distance
- Neighborhood iff Contains Neighborhood
- Neighborhood in Metric Space has Subset Neighborhood
- Neighborhood in Topological Space has Subset Neighborhood
- Neighborhood in Topological Subspace
- Neighborhood of Point in Metrizable Space contains Closed Neighborhood
- Neighborhoods in Standard Discrete Metric Space
- Neighbourhood of Point Contains Point of Subset iff Distance is Zero
