Category:Definitions/Finite Complement Topology
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This category contains definitions related to Finite Complement Topology.
Related results can be found in Category:Finite Complement Topology.
Let $S$ be a set whose cardinality is usually specified as being infinite.
Let $\tau$ be the set of subsets of $S$ defined as:
- $H \in \tau \iff \relcomp S H \text { is finite, or } H = \O$
where $\relcomp S H$ denotes the complement of $H$ relative to $S$.
Then $\tau$ is the finite complement topology on $S$, and the topological space $T = \struct {S, \tau}$ is a finite complement space.
Pages in category "Definitions/Finite Complement Topology"
The following 10 pages are in this category, out of 10 total.
F
- Definition:Finite Complement Space
- Definition:Finite Complement Topology
- Definition:Finite Complement Topology on Finite Space
- Definition:Finite Complement Topology/Also known as
- Definition:Finite Complement Topology/Countable
- Definition:Finite Complement Topology/Finite
- Definition:Finite Complement Topology/Uncountable