准k空间的推广

General Topology and its Applications Pub Date : 1979-02-01 DOI:10.1016/0016-660X(79)90022-9

Andrew J. Berner

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引用次数: 1

摘要

考虑了四类空间，它们都推广了拟k空间。在假设空间是Hausdorff、正则和正态的情况下，简要讨论了这些类之间的含义。构造了一个非拟k的正则相对双拟k空间，回答了一个Olson问题。连续统假设用于构造一个非准k的相对准k空间。

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Generalizations of quasi-k spaces

Four classes of spaces are considered, all generalizing quasi-k spaces.The implications among these classes under the assumptions that the spaces are Hausdorff, regular, and normal are briefly discussed. A regular relatively bi-quasi-k space which is not quasi-k is constructed, answering a question of Olson. The continuum hypothesis is used to construct a relatively quasi-k space that is not quasi-k.

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General Topology and its Applications

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