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 ...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.展开更多
基金Supported by the National Natural Science Foundation of China(11201414,11571158,11171162)Supported by the Natural Science Foundation of Fujian Province(2012J05013)Supported by the Training Programme Foundation for Excellent Youth Researching Talents of Fujian's Universities(JA13190)
文摘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.
基金Partially supported by Beijing Municipal Bureau of Personnel of China(No.005400703)Institute of Mathematics and Interdisciplinary Science,Capital Normal University.
