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- W2050704983 abstract "All spaces considered are completely regular and X* denotes βX — X. The point x G X* is called a remote point of X if x g CβxA for each nowhere dense subset A of X. If y G 7, then the space Y is said to be extremally disconnected at y if j> £ ί/ Π F whenever £/and Fare disjoint open sets. In this paper we construct two noncompact σ-compact spaces X, one locally compact and one nowhere locally compact, such that X has no remote points, and in fact such that βX is not extremally disconnected at any point." @default.
- W2050704983 created "2016-06-24" @default.
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- W2050704983 date "1983-03-01" @default.
- W2050704983 modified "2023-10-13" @default.
- W2050704983 title "Spaces without remote points" @default.
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- W2050704983 doi "https://doi.org/10.2140/pjm.1983.105.69" @default.
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