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Intuitionistic I -fuzzy topological spaces

Cong-hua Yan, Xiao-ke Wang (2010)

Czechoslovak Mathematical Journal

The main purpose of this paper is to introduce the concept of intuitionistic I -fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic I -fuzzy topological spaces and the category of intuitionistic I -fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic I -fuzzy topology is proposed, and the connections among generated intuitionistic I -fuzzy topological spaces,...

Irresolvable countable spaces of weight less than

Viacheslav I. Malykhin (1999)

Commentationes Mathematicae Universitatis Carolinae

We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight 1 < and (b) a countable irresolvable dense subspace of 2 ω 1 . In this model = ω 1 .

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