Homogeneity Problems in the Theory of Čech Compactifications

Walter Rudin
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Walter Rudin: University of Rochester

A chapter in The Mathematical Legacy of Eduard Čech, 1993, pp 81-92 from Springer

Abstract: Abstract If X is a completely regular topological space, there exists a space ßX, the so-called Cech compactification of X, which is characterized by the following three properties: ßX is a compact (bicompact, in the older terminology) Hausdorff space, X is a dense subset of ßX, and every bounded continuous real-valued function on X can be extended to a continuous function on βX [1; 831].

Date: 1993
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DOI: 10.1007/978-3-0348-7524-0_7

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