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Every Hausdorff Compactification of a Locally Compact Separable Space is a Ga Compactification

Published online by Cambridge University Press:  20 November 2018

J. Van Mill
J. Van Mill*
Affiliation:
Free University, Amsterdam, The Netherlands
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Abstract

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In [4], De Groot and Aarts constructed Hausdorff compactifications of topological spaces to obtain a new intrinsic characterization of complete regularity. These compactifications were called GA compactifications in [5] and [7]. A characterization of complete regularity was earlier given by Frink [3], by means of Wallman compactifications, a method which led to the intriguing problem of whether every Hausdorff compactification is a Wallman compactification.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 1 , 01 February 1977 , pp. 125 - 131
Copyright
Copyright © Canadian Mathematical Society 1977

References

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