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Generalized topological molecular lattices. (English) Zbl 0599.54005
In an earlier paper the author developed a theory of fuzzy topological spaces and lattices, using the notion of ”molecule” as an abstraction of ”fuzzy point”. The resulting topological theory uses the concept of ”remote neighborhood” and develops a form of ”Moore-Smith convergence”. The present paper generalizes and extends these results to a wider class of spaces, and introduces new formulations of compactness and connectedness.
Reviewer: D.C.Kent

MSC:
54A40 Fuzzy topology
54H12 Topological lattices, etc. (topological aspects)
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