Rectangularity of products and completions of their subsets
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- 作者：K.L. Kozlov
- 关键词：Stone– ; Č ; ech compactification ; Hewitt realcompactification ; Dieudonné ; completion ; Topological product ; Uniform structure ; Bounded subset
- 刊名：Topology and its Applications
- 出版年：2010
- 出版时间：1 March 2010
- 年：2010
- 卷：157
- 期：4
- 页码：698-707
- 全文大小：226 K
文摘
The approach to the problem of the distribution of the functors of the Stone–Čech 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.