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- W1991489351 abstract "In this paper a certain fuzzy paracompactness is presented by means of the concept of α-locally finite family of L-fuzzy sets. The concept of α-locally finite family can be used to characterize fuzzy countable compactness. This fuzzy paracompactness is a natural generalization of Lowen fuzzy compactness. A fuzzy countably compact L-set is fuzzy paracompact if and only if it is fuzzy compact. A topological space (X, J) is paracompact if and only if its induced space (X, ω(J)) is fuzzy paracompact. When ms(L) ≤ ω, the fuzzy enhanced real line R(L) is fuzzy paracompact. The product of a fuzzy compact set and a fuzzy paracompact set is fuzzy paracompact. A fuzzy strongly T2 paracompact space is strongly S*-regular and strongly WS*-normal. Moreover a strongly S*-regular Lindelof space is fuzzy paracompact." @default.
- W1991489351 created "2016-06-24" @default.
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- W1991489351 date "2002-07-01" @default.
- W1991489351 modified "2023-10-03" @default.
- W1991489351 title "Paracompactness in L-topological spaces" @default.
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- W1991489351 doi "https://doi.org/10.1016/s0165-0114(01)00230-5" @default.
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