On rectangular products of topological spaces |
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Authors: | Takao Hoshina Kiiti Morita |
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Institution: | Department of Mathematics, The University of Tsukuba, Sakuramura Niihari-gun Ibaraki, 300-31 Japan;Department of Mathematics, The Sophia University 7 Kioi-cho Chiyoda-ku, Tokyo 102, Japan |
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Abstract: | Several results on rectangular products in the sense of B.A. Pasynkov will be obtained, one of which asserts that for a Tychonoff space X, X × Y is rectangular for any space Y iff X is locally compact and paracompact. |
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Keywords: | 54B10 rectangular product topological completion Tychonoff functor |
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