Excluded point topology
id:
excluded-point-topology-199-10106291
title:
Excluded point topology
text:
In mathematics, the excluded point topology is a topology where exclusion of a particular point defines openness. Formally, let X be any non-empty set and p ∈ X. The collection of subsets of X is then the excluded point topology on X. There are a variety of cases which are individually named: If X has two points, it is called the Sierpiński space. This case is somewhat special and is handled separately.
If X is finite, the topology on X is called the finite excluded point topology
If X is counta
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wiki
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original url:
https://en.wikipedia.org/wiki/Excluded_point_topology
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date modified:
2023-05-05T01:01:17Z
main entity:
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