Abstract

The theory of topological molecular lattices introduced by Wang has general topology and fuzzy topology as special cases. In this paper, the author establishes the theory of ideal convergence in topological molecular lattices, and gives characterizations of some topological notions, e.g. closed elements, Hausdorffness, continuous GOH in topological molecular lattices, etc. in terms of ideals. The author establishes the relation between ideal convergence and molecular net convergence introduced by Wang.

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