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Rectangularity of products and completions of their subsets
Authors:KL Kozlov
Institution:Department of General Topology and Geometry, Faculty of Mechanics and Mathematics, Moscow State University, Moscow 119991, Russia
Abstract:The approach to the problem of the distribution of the functors of the Stone-?ech compactification, the Hewitt realcompactification or the Dieudonné completion with the operation of taking products is discussed using uniform structures on products. In particular, the role of different rectangular conditions is shown. Relative analogues of this question and new examples of (strongly) rectangular products are presented. Characterizations of bounded rectangular subsets of the product are given.
Keywords:54D35  54B10  54E15
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