Special points in compact spaces
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- by Murray Bell PDF
- Proc. Amer. Math. Soc. 122 (1994), 619-624 Request permission
Abstract:
Given a collection $\mathcal {C}$, of cardinality $\kappa$, of subsets of a compact space X, we prove the existence of a point x such that whenever $C \in \mathcal {C}$ and $X \in \bar C$, there exists a ${G_\lambda }$-set Z with $\lambda < \kappa$ and $x \in Z \subset \bar C$. We investigate the case when $\mathcal {C}$ is the collection of all cozerosets of X and also when X is a dyadic space. We apply this result to homogeneous compact spaces. Another application is a characterization of ${2^{{\omega _1}}}$ among dyadic spaces.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 619-624
- MSC: Primary 54D30; Secondary 54C50, 54F65, 54G20
- DOI: https://doi.org/10.1090/S0002-9939-1994-1246515-5
- MathSciNet review: 1246515