# 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 $5.2.3 \ \text {(d)}$