Maximum P—Extensions

Jack R. Porter and R. Grant Woods
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Jack R. Porter: The University of Kansas, Department of Mathematics
R. Grant Woods: University of Manitoba, Department of Mathematics

Chapter Chapter 5 in Extensions and Absolutes of Hausdorff Spaces, 1988, pp 362-439 from Springer

Abstract: Abstract In Chapter 4 we constructed the Stone-Čech compactification βX of a Tychonoff space X. One of the many characterizations of βX that we obtained is the following: if X is Tychonoff, K is compact, and f ∈ C(X,K) then there exists βf ∈ C(βX,K) such that βf ❘X = f (see 4.6(g)). Put informally, this says that every continuous function from X to K has a continuous extension to βX.

Date: 1988
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DOI: 10.1007/978-1-4612-3712-9_5

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