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The relation between filter and net convergence in fuzzy topological spaces. (English) Zbl 0569.54007
For fuzzy topological spaces, convergence was described by the author by means of filters [General Topol. Appl. 10, 147-160 (1979; Zbl 0409.54008)] and by P. Pu and Y. Liu by means of nets [J. Math. Anal. Appl. 76, 571-599 (1980; Zbl 0447.54006)]. The author shows that these two convergence theories completely determine each other.
Reviewer: B.Behrens

MSC:
54A40 Fuzzy topology
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
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