Displaying similar documents to “The topological centre of a compactification of a locally compact group.”

Alexandroff One Point Compactification

Czesław Byliński (2007)

Formalized Mathematics

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In the article, I introduce the notions of the compactification of topological spaces and the Alexandroff one point compactification. Some properties of the locally compact spaces and one point compactification are proved.

On generalized topological spaces II

Artur Piękosz (2013)

Annales Polonici Mathematici

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This is the second part of A. Piękosz [Ann. Polon. Math. 107 (2013), 217-241]. The categories GTS(M), with M a non-empty set, are shown to be topological. Several related categories are proved to be finitely complete. Locally small and nice weakly small spaces can be described using certain sublattices of power sets. Some important elements of the theory of locally definable and weakly definable spaces are reconstructed in a wide context of structures with topologies.