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On rectangular products of topological spaces
Authors:Takao Hoshina  Kiiti Morita
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
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.
Keywords:54B10  rectangular product  topological completion  Tychonoff functor
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