Stone-Čech compactifications via adjunctions
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- by R. C. Walker PDF
- Proc. Amer. Math. Soc. 56 (1976), 357-362 Request permission
Abstract:
The Stone-Čech compactification of a space $X$ is described by adjoining to $X$ continuous images of the Stone-Čech growths of a complementary pair of subspaces of $X$. The compactification of an example of Potoczny from [P] is described in detail.References
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- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2
- Neil Hindman, On the existence of $c$-points in $\beta N\backslash N$, Proc. Amer. Math. Soc. 21 (1969), 277–280. MR 239565, DOI 10.1090/S0002-9939-1969-0239565-4
- H. B. Potoczny, A nonparacompact space which admits a closure-preserving cover of compact sets, Proc. Amer. Math. Soc. 32 (1972), 309–311. MR 288727, DOI 10.1090/S0002-9939-1972-0288727-9
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 56 (1976), 357-362
- DOI: https://doi.org/10.1090/S0002-9939-1976-0400173-7
- MathSciNet review: 0400173