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Variable-basis topological systems versus variable-basis topological spaces

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The paper introduces a variable-basis generalization of the notion of topological system of Vickers and considers functorial relationships between the categories of variable-basis topological systems and variable-basis fuzzy topological spaces in the sense of Rodabaugh.

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Acknowledgments

This research was supported by the European Social Fund. The author is also grateful to the Department of Mathematics “Ennio De Giorgi” of the University of Salento in Lecce, Italy (especially to Prof. C. Guido) for the opportunity of spending a month at the university during which period the revised version of the manuscript was prepared.

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  1. Department of Mathematics, University of Latvia, Zellu iela 8, Riga, 1002, Latvia

    Sergey A. Solovyov

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  1. Sergey A. Solovyov
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Solovyov, S.A. Variable-basis topological systems versus variable-basis topological spaces. Soft Comput 14, 1059–1068 (2010). https://doi.org/10.1007/s00500-009-0485-2

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