Definition:Compact Space/Also defined as
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Compact Space: Also defined as
Some sources, in their definition of a compact space, impose the additional criterion that such a space should also be Hausdorff.
What is called a compact space here is then referred to as a quasicompact (or quasi-compact) space.
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $5$: Compact spaces: $5.2$: Definition of compactness: Remark $5.2.3 \ \text {(d)}$