On soft continuous mappings and soft connectedness of soft
... 3. Soft continuous mappings between soft topological spaces In this section, we will introduce the notion of soft continuous mapping between soft topological spaces and discuss some related properties. Let X, Y be two initial universe sets and E be a non-empty set of parameters. In what follows, th ...
... 3. Soft continuous mappings between soft topological spaces In this section, we will introduce the notion of soft continuous mapping between soft topological spaces and discuss some related properties. Let X, Y be two initial universe sets and E be a non-empty set of parameters. In what follows, th ...
Sheaves on Spaces
... with them, see Categories, Lemma 14.10. But this is not yet good enough (see Example 9.4); we also need F to reflect isomorphisms. This property means that given a morphism f : A → A0 in C, then f is an isomorphism if (and only if) F (f ) is a bijection. ...
... with them, see Categories, Lemma 14.10. But this is not yet good enough (see Example 9.4); we also need F to reflect isomorphisms. This property means that given a morphism f : A → A0 in C, then f is an isomorphism if (and only if) F (f ) is a bijection. ...
Metric geometry of locally compact groups
... – coarsely simply connected if every “loop” x0 , x1 , . . . , xn = x0 of points in X with an appropriate bound on the distances d(xi−1 , xi ), can be “deformed by small steps” to a constant loop x0 , x0 , . . . , x0 ; see 6.A.5 for a precise definition. If X and Y are metric spaces, a map f : X −→ Y ...
... – coarsely simply connected if every “loop” x0 , x1 , . . . , xn = x0 of points in X with an appropriate bound on the distances d(xi−1 , xi ), can be “deformed by small steps” to a constant loop x0 , x0 , . . . , x0 ; see 6.A.5 for a precise definition. If X and Y are metric spaces, a map f : X −→ Y ...
On Fuzzy Maximal θ-Continuous Functions in Fuzzy Topological
... Through this paper X, Y and Z mean fuzzy topological space (fts, for short) in Chang’s sense. For a fuzzy set λ of a fts X, the notion I X , λc = 1X −λ, Cl(λ), Int(λ), F Ma θ-Int(λ), F Mi θ-Cl(λ) will respectively stand for the set of all fuzzy subsets of X, fuzzy complement, fuzzy closure, fuzzy in ...
... Through this paper X, Y and Z mean fuzzy topological space (fts, for short) in Chang’s sense. For a fuzzy set λ of a fts X, the notion I X , λc = 1X −λ, Cl(λ), Int(λ), F Ma θ-Int(λ), F Mi θ-Cl(λ) will respectively stand for the set of all fuzzy subsets of X, fuzzy complement, fuzzy closure, fuzzy in ...
1 Introduction
... properties and characterizations. In 1996, Keun [4] introduced fuzzy scontinuous, fuzzy s-open and fuzzy s-closed maps and established a number of characterizations. Now, we introduce the concept of supra α-open set, sα-continuous and investigate some of the basic properties for this class of functi ...
... properties and characterizations. In 1996, Keun [4] introduced fuzzy scontinuous, fuzzy s-open and fuzzy s-closed maps and established a number of characterizations. Now, we introduce the concept of supra α-open set, sα-continuous and investigate some of the basic properties for this class of functi ...