On k-Spaces and kR-Spaces |
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| Authors: | Jinjin Li |
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| Affiliation: | (1) Dept. of Math., Zhangzhou Teachers College, Zhangzhou, Fujian, 36300, P.R. China |
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| Abstract: | ![]()
In this note we study the relation between k R -spaces and k-spaces and prove that a k R -space with a σ-hereditarily closure-preserving k-network consisting of compact subsets is a k-space, and that a k R -space with a point-countable k-network consisting of compact subsets need not be a k-space. This work was supported by the NSF of China (10271056). |
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| Keywords: | k R -spaces k-spaces k-networks σ -hereditarily closure-preserving collections point-countable collections |
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