C-scattered fuzzy topological spaces |
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Institution: | Departamento de Geometría y Topología, Facultad de Matemáticas Universidad Complutense de Madrid, 28040 Madrid, Spain |
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Abstract: | In this paper, we define the concept of C-scattered fuzzy topological spaces and obtain some properties about them. In particular, we study the relation between C-scattered spaces and its fuzzy extension, it is proved that C-scattered fuzzy topological spaces are invariant by fuzzy perfect maps, and that, in the realm of paracompact fuzzy topological spaces, the C-scattered spaces verify that their product by other fuzzy spaces is also paracompact fuzzy. |
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