Definition:Cover of Set/Finite
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Definition
Let $S$ be a set.
A cover $\CC$ for $S$ is a finite cover if and only if $\CC$ is a finite set.
Illustration
The following diagram illustrates a finite cover of a subset $T$ of a set $S$:
Also see
- Results about covers can be found here.
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $5$: Compact spaces: $5.2$: Definition of compactness: Definitions $5.2.1$