Some Wallman compactifications determined by retracts

Bentley, H. L.

doi:10.1090/S0002-9939-1972-0293588-8

Some Wallman compactifications determined by retracts
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by H. L. Bentley PDF

Proc. Amer. Math. Soc. 33 (1972), 587-593 Request permission

Abstract:

Let Y be a Hausdorff compactification of a locally compact space X and let $K = Y - X$ be the remainder. Suppose that K is a regular Wallman space (i.e. K has a base for closed sets which is a ring and which consists of sets each of which is the closure of its interior) and suppose that K is a neighborhood retract of Y. Under these assumptions, it is proved below that Y is a Wallman compactification of X.

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On Wallman compactifications

17

Wallman-type compactifications

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