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- W3203223624 abstract "<p>It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a non-discrete extremally disconnected space can ever be extremally disconnected. We answer this question in the affirmative; an example of van Douwen is significant. In a slightly different direction we also characterize when the Alexandroff duplicate of a space is a P-space as well as when it is an almost P-space.</p>" @default.
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- W3203223624 date "2021-10-01" @default.
- W3203223624 modified "2023-10-16" @default.
- W3203223624 title "Disconnection in the Alexandroff duplicate" @default.
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- W3203223624 doi "https://doi.org/10.4995/agt.2021.14602" @default.
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