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On some fan-tightness type properties

J. Valuyeva (1998)

Commentationes Mathematicae Universitatis Carolinae

Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings.

On some generalizations of the Kakutani-Stone and Stone-Weierstrass theorems.

M. Isabel Garrido, Francisco Montalvo (1991)

Extracta Mathematicae

For a completely regular space X, C*(X) denotes the algebra of all bounded real-valued continuous functions over X. We consider the topology of uniform convergence over C*(X).When K is a compact space, the Stone-Weierstrass and Kakutani-Stone theorems provide necessary and sufficient conditions under which a function f ∈ C*(K) can be uniformly approximated by members of an algebra, lattice or vector lattice of C*(K). In this way, the uniform closure and, in particular, the uniform density of algebras...

On some kinds of fuzzy connected spaces

Qutaiba Ead Hassan (2007)

Applications of Mathematics

In this paper we introduce new results in fuzzy connected spaces. Among the results obtained we can mention the good extension of local connectedness. Also we prove that in a T 1 -fuzzy compact space the notions c-zero dimensional, strong c-zero dimensional and totally c i -disconnected are equivalent.

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