Category:Excluded Point Topology

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This category contains results about Excluded Point Topology.
Definitions specific to this category can be found in Definitions/Excluded Point Topology.

Let $S$ be a set which is non-empty.

Let $p \in S$ be some particular point of $S$.

We define a subset $\tau_{\bar p}$ of the power set $\mathcal P \left({S}\right)$ as:

$\tau_{\bar p} = \left\{{A \subseteq S: p \notin A}\right\} \cup \left\{{S}\right\}$

That is, all the subsets of $S$ which do not include $p$, along with the set $S$.

Then $\tau_{\bar p}$ is a topology called the excluded point topology on $S$ by $p$, or just an excluded point topology.


This category has the following 10 subcategories, out of 10 total.