When is an Almost Lo cally Compact Space Sup ercomplete? |
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基金项目: | 11171162),the Natural Science Foundation of Fujian Province(2012J05013),the Training Programme Foundation for Excellent Youth Researching Talents of Fujian’s Universities(JA13190) |
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摘 要: | It is proved in this paper that (1) the topological sum of a family of supercomplete spaces is supercomplete; (2) if X is a metacompact and almost locally compact space then X is supercomplete. Moreover, some questions on supercomplete spaces are posed in the paper.
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关 键 词: | supercomplete spaces sums of topological spaces almost locally compact metacompact spaces |
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