Generalized topological molecular lattices. (English) Zbl 0599.54005

Wang, Guozun

Sci. Sin., Ser. A 27, 785-798 (1984).

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)

Keywords:

fuzzy topology; fuzzy lattice; chain-complete lattice; molecular net; order-homomorphism; remote neighborhood; compactness; connectedness