On closed subspaces of $\omega ^ *$
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- by A. Dow, R. Frankiewicz and P. Zbierski PDF
- Proc. Amer. Math. Soc. 119 (1993), 993-997 Request permission
Abstract:
It is consistent with the negation of the Continuum Hypothesis that closed subsets of the space ${\omega ^{\ast }}$ are exactly compact $0$-dimensional F-spaces of weight $\leqslant c$.References
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, Graduate Texts in Mathematics, No. 43, Springer-Verlag, New York-Heidelberg, 1976. Reprint of the 1960 edition. MR 0407579
- Eric K. van Douwen and Jan van Mill, Subspaces of basically disconnected spaces or quotients of countably complete Boolean algebras, Trans. Amer. Math. Soc. 259 (1980), no. 1, 121–127. MR 561827, DOI 10.1090/S0002-9947-1980-0561827-0
- Alain Louveau, Caractérisation des sous-espaces compacts de $\beta \textbf {N}$, Bull. Sci. Math. (2) 97 (1973), 259–263 (1974) (French). MR 353261
- J. van Mill and G. M. Reed, Open problems in topology, Topology Appl. 53 (1993), no. 1, 105–109. MR 1243872, DOI 10.1016/0166-8641(93)90102-J
- Roman Sikorski, Boolean algebras, 3rd ed., Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 25, Springer-Verlag New York, Inc., New York, 1969. MR 0242724, DOI 10.1007/978-3-642-85820-8
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 993-997
- MSC: Primary 54G05; Secondary 03E35, 54A99
- DOI: https://doi.org/10.1090/S0002-9939-1993-1152978-5
- MathSciNet review: 1152978