Cofinal families of compacta in separable metric spaces
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- by Fons van Engelen
- Proc. Amer. Math. Soc. 104 (1988), 1271-1273
- DOI: https://doi.org/10.1090/S0002-9939-1988-0969060-8
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Abstract:
We show that if $X$ is a $\Pi _1^1$-set, then the family of compact subsets of $X$ contains a cofinal (w.r.t. inclusion) subset of cardinality ${\mathbf {d}}$; the same is true if $X$ is $\Pi _3^1$, under strong set-theoretic hypotheses.References
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Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 1271-1273
- MSC: Primary 54H05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0969060-8
- MathSciNet review: 969060