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- W2092437575 abstract "A 0- space is a completely regular Hausdorff space possesing a compactification with zero-dimensional remainder. Recall that a space X is called rimcompact if X has a basis of open sets with compact boundaries. It is well known that X is rimcompact if and only if X has a compactification which has a basis of open sets whose boundaries are contained in X . Thus any rimcompact space is a 0-space; the converse is not true. In this paper the class of almost rimcompact spaces is introduced and shown to be intermediate between the classes of rimcompact spaces and 0-spaces. It is shown that a space X is almost rimcompact if and only if X has a compactification in which each point of the remainder has a basis (in the compactification) of open sets whose boundaries are contained in X ." @default.
- W2092437575 created "2016-06-24" @default.
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- W2092437575 date "1987-02-01" @default.
- W2092437575 modified "2023-09-30" @default.
- W2092437575 title "Almost rimcompact spaces" @default.
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- W2092437575 doi "https://doi.org/10.1016/0166-8641(87)90077-0" @default.
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