A pseudocompactification

M. R. Koushesh

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arXiv · 1205.6422

A pseudocompactification

M. R. Koushesh

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Abstract

For a locally pseudocompact space $X$ let [\zeta X=X\cup cl_{\beta X}(\beta X\backslash\upsilon X).] It is proved that $\zeta X$ is the largest (with respect to the standard partial order $\leq$) among all pseudocompactifications of $X$ which have compact remainder. Other characterizations of $\zeta X$ are also given.

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BibTeX RIS

M. R. Koushesh. 2012-05-29. A pseudocompactification. https://arxiv.org/abs/1205.6422

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