Category:Locally Finite Sets of Subsets
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This category contains results about Locally Finite Sets of Subsets.
Definition
Let $T = \struct {S, \tau}$ be a topological space.
Let $\FF$ be a set of subsets of $S$.
Then $\FF$ is locally finite if and only if each element of $S$ has a neighborhood which intersects a finite number of sets in $\FF$.
Sources
- 1955: John L. Kelley: General Topology: Chapter $4$: Embedding and Metrization
- 1975: James R. Munkres: Topology: Chapter $6$: Metrization Theorems and Paracompactness: $\S39$: Local Finiteness
- 1970: Stephen Willard: General Topology: Chapter $6$: Compactness: $\S20$: Paracompactness: Definition $22.2$
Pages in category "Locally Finite Sets of Subsets"
The following 6 pages are in this category, out of 6 total.