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Continuous Preimages of Spaces with Finite Compactifications

Published online by Cambridge University Press:  20 November 2018

George L. Cain Jr.
George L. Cain Jr.*
Affiliation:
School of Mathematics Georgia Institute of Technology Atlanta, Georgia 30332, U.S.A.
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A compactification αX of the space X is called an n -point compactification if the remainder αX — X consists of exactly n points. K. D. Magill [5] showed that if Y has an n-point compactification and if f:X→ f(x) = Y is a compact continuous mapping of the space X onto Y, then X also has an n-point compactification.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 177 - 180
Copyright
Copyright © Canadian Mathematical Society 1981

References

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