Spaces in Which Countable Closed Sets Have Countable Character |
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Authors: | C M Pareek |
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Institution: | (1) Department of Mathematics & Computer Science, Kuwait University, P. O. Box 5969, Safat, 13060, Kuwait E-mail |
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Abstract: | It is proved that in a T
3 space countable closed sets have countable character if and only if the set of limit point of the space is a countable compact set and every compact set is of countable character. Also, it is shown that spaces where countable sets have countable character are WN-spaces and are very close to M-spaces. Finally, some questions of Dai and Lia are discussed and some questions are proposed. |
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Keywords: | |
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