Morphisms of Algebraic Stacks

... Let X = [U/R] be a presentation of an algebraic stack. Then the properties of the diagonal of X over S, are the properties of the morphism j : R → U ×S U . For example, if X = [S/G] for some smooth group G in algebraic spaces over S then j is the structure morphism G → S. Hence the diagonal is not a ...

... Let X = [U/R] be a presentation of an algebraic stack. Then the properties of the diagonal of X over S, are the properties of the morphism j : R → U ×S U . For example, if X = [S/G] for some smooth group G in algebraic spaces over S then j is the structure morphism G → S. Hence the diagonal is not a ...

PROPERTIES OF FUZZY TOPOLOGICAL GROUPS AND

... Definition 2.1. Let (X, T ) be a FTS. A fuzzy set N in (X, T ) is a neighborhood of a point x ∈ X iff there exists U ∈ T such that U ⊆ N and U (x) = N (x) > 0. Definition 2.2. Let (X, T ) be a fuzzy topological space. A family A of fuzzy sets is a cover of a fuzzy set B iff B ⊆ ∪A∈A A. It is an open ...

... Definition 2.1. Let (X, T ) be a FTS. A fuzzy set N in (X, T ) is a neighborhood of a point x ∈ X iff there exists U ∈ T such that U ⊆ N and U (x) = N (x) > 0. Definition 2.2. Let (X, T ) be a fuzzy topological space. A family A of fuzzy sets is a cover of a fuzzy set B iff B ⊆ ∪A∈A A. It is an open ...

Ordered Fuzzy Highly Disconnectedness Space

... the fuzzy concept has invaded almost all branches of Mathematics. Fuzzy sets have applications in many fields such as information [2] and control [3]. C.L.Chang [4] introduced and developed the theory of fuzzy topological spaces and since then various notion in classical topology have been extended ...

... the fuzzy concept has invaded almost all branches of Mathematics. Fuzzy sets have applications in many fields such as information [2] and control [3]. C.L.Chang [4] introduced and developed the theory of fuzzy topological spaces and since then various notion in classical topology have been extended ...