Category:Excluded Set Topology
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This category contains results about excluded set topologies.
Let $S$ be a set which is non-empty.
Let $H \subseteq S$ be some subset of $S$.
We define a subset $\tau_{\bar H}$ of the power set $\powerset S$ as:
- $\tau_{\bar H} = \set {A \subseteq S: A \cap H = \O} \cup \set S$
that is, all the subsets of $S$ which are disjoint from $H$, along with the set $S$.
Then $\tau_{\bar H}$ is a topology called the excluded set topology on $S$ by $H$, or just an excluded set topology.
Pages in category "Excluded Set Topology"
The following 2 pages are in this category, out of 2 total.