Not every minimal Hausdorff space is $e$-compact

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

1. I n t r o d u c t i o n . 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 Fr ink [3], by means of Wallman compactifications, a method which led to the...

Topology Proceedings 9 (1984) pp. 243-268: BETWEEN MINIMAL HAUSDORFF AND COMPACT HAUSDORFF SPACES

Every Banach Space is Reflexive

The title above is wrong, because the strong dual of a Banach space is too strong to assert that the natural correspondence between a space and its bidual is an isomorphism. This, from a categorical point of view, is indeed the right duality concept because it yields a self adjoint dualisation functor. However, for many applications the non–reflexiveness problem can be solved by replacing the n...

argon plasma coagulation is not effective in every vascular lesion

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A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-hausdorff Space

In the structure theory of C*-algebras an important role is played by certain topological spaces X which, though locally compact in a certain sense, do not in general satisfy even the weakest separation axiom. This note is concerned with the construction of a compact Hausdorff topology for the space G(X) of all closed subsets of such a space X. This construction occurs naturally in the theory o...