منابع مشابه
A Tychonoff theorem in intuitionistic fuzzy topological spaces
The purpose of this paper is to prove a Tychonoff theorem in the so-called “intuitionistic fuzzy topological spaces.” After giving the fundamental definitions, such as the definitions of intuitionistic fuzzy set, intuitionistic fuzzy topology, intuitionistic fuzzy topological space, fuzzy continuity, fuzzy compactness, and fuzzy dicompactness, we obtain several preservation properties and some ...
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let ${x_{alpha}:alphainlambda}$ be a collection of topological spaces, and $mathcal {g}_{alpha}$ be a grill on $x_{alpha}$ for each $alphainlambda$. we consider tychonoffrq{}s type theorem for $x=prod_{alphainlambda}x_{alpha}$ via the above grills and a natural grill on $x$ related to these grills, and present a simple proof to this theorem. this immediately yields the classical theorem...
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A topological space X is said to be completely regular if whenever F is a nonempty closed set and x ∈ X \F , there is a continuous function f : X → [0, 1] such that f(x) = 0 and f(F ) = {1}. A completely regular space need not be Hausdorff. For example, ifX is any set with more than one point, then the trivial topology, in which the only closed sets are ∅ and X, is vacuously completely regular,...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1973
ISSN: 0022-247X
DOI: 10.1016/0022-247x(73)90288-6