Category:Fort Spaces
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This category contains results about Fort Spaces.
Definitions specific to this category can be found in Definitions/Fort Spaces.
Let $S$ be an infinite set.
Let $p \in S$ be a particular point of $S$.
Let $\tau_p \subseteq \powerset S$ be a subset of the power set of $S$ defined as:
- $\tau_p = \leftset {U \subseteq S: p \in \relcomp S U} \text { or } \set {U \subseteq S: \relcomp S U}$ is finite$\rightset{}$
That is, $\tau_p$ is the set of all subsets of $S$ whose complement in $S$ either contains $p$ or is finite.
Then $\tau_p$ is a Fort topology on $S$, and the topological space $T = \struct {S, \tau_p}$ is a Fort space.
Pages in category "Fort Spaces"
The following 25 pages are in this category, out of 25 total.
C
F
- Fort Space is Compact
- Fort Space is Completely Normal
- Fort Space is Excluded Point Space with Finite Complement Space
- Fort Space is not Extremally Disconnected
- Fort Space is Regular
- Fort Space is Scattered
- Fort Space is Sequentially Compact
- Fort Space is T0
- Fort Space is T1
- Fort Space is T5
- Fort Space is Totally Separated
- Fort Space is Zero Dimensional
- Fort Topology is Topology