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M3-spaces whose every point has a closure preserving outer base are M1 |
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| Authors: | Munehiko Itō |
| Institution: | Institute of Mathematics, University of Tsukuba, Ibaraki, 305 Japan |
| Abstract: | Let X be an M3-space. If every point of X has a closure preserving outer base, then X is an M1-space. This is a remarkable improvement on 2, Corollary 2.8]. If there is a point of X having no closure preserving outer base, then we have an M3-space which is not M1. |
| Keywords: | 54E20 |
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