σ-compact space

In mathematics, a topological space is said to be σ-compact if it is the union of countably many compact subspaces.[1]

A space is said to be σ-locally compact if it is both σ-compact and locally compact.[2]

Properties and examples

See also

Notes

  1. Steen, p.19; Willard, p. 126.
  2. Steen, p. 21.
  3. Steen, p. 19.
  4. Steen, p. 56.
  5. Steen, p. 7576.
  6. Steen, p. 50.
  7. Willard, p. 126.
  8. Willard, p. 126.
  9. Willard, p. 126.
  10. Willard, p. 188.

References


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