The local connectedness of ga compactifications generated by all closed connected sets

Hursch, Jack L

doi:10.1016/s1385-7258(71)80048-3

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1972

1992

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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.…”

Section: Introductionmentioning

confidence: 99%

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

Mill

1977

Can. j. math.

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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.

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