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A study on fuzzy sober spaces. (English) Zbl 1427.54017

Summary: In this paper, the new concept of fuzzy sober space is introduced. Two extension theorems for fuzzy sober space are studied using fuzzy quasi-homeomorphism. In this connection, some equivalent statements for fuzzy sober spaces are also established.

MSC:

54A40 Fuzzy topology
54B30 Categorical methods in general topology
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