CHARACTER, DENSITY AND CELLULARITY OF L-FUZZY TOPOLOGICAL SPACES |
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作者姓名: | 蒋继光 |
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作者单位: | Depeartment of |
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摘 要: | In this paper we generalize the notions of weight,character, density and cellularity of topological spaces to L-fuzzy topogical spaces. We prove theorems corresponding to some of usual theorems. In particular we generalize Hewitt-Marczewski-Pondiczery theorem on the density of the product of topological spaces to the case of L-fuzzy topological spaces (Theorem 4. 4). We also discuss the relations between topological spaces and its induced fuzzy topological spaces for these cardinal functions.
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