The number of compact subsets of a topological space
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- by D. K. Burke and R. E. Hodel PDF
- Proc. Amer. Math. Soc. 58 (1976), 363-368 Request permission
Abstract:
Results are obtained which give an upper bound on the number of compact subsets of a topological space in terms of other cardinal invariants. The countable version of the main theorem states that an ${\aleph _1}$-compact space with a point-countable separating open cover has at most ${2^{{\aleph _0}}}$ compact subsets.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 58 (1976), 363-368
- MSC: Primary 54A25; Secondary 54D30
- DOI: https://doi.org/10.1090/S0002-9939-1976-0418014-0
- MathSciNet review: 0418014