barmakthesis.pdf
... That means that for any two points of X0 there exists an open set which contains only one of them. Therefore, when studying homotopy types of finite spaces, we can restrict our attention to T0 -spaces. In [37], Stong defines the notion of linear and colinear points, which we call up beat and down be ...
... That means that for any two points of X0 there exists an open set which contains only one of them. Therefore, when studying homotopy types of finite spaces, we can restrict our attention to T0 -spaces. In [37], Stong defines the notion of linear and colinear points, which we call up beat and down be ...
Haar null and Haar meager sets: a survey and
... if it is separable and completely metrizable, for the definition of Haar nullness see Definition 3.1.1.) Twenty years later Hunt, Sauer and Yorke independently introduced this notion under the name of shy sets in the paper [15]. Since then lots of papers were published which either study some prope ...
... if it is separable and completely metrizable, for the definition of Haar nullness see Definition 3.1.1.) Twenty years later Hunt, Sauer and Yorke independently introduced this notion under the name of shy sets in the paper [15]. Since then lots of papers were published which either study some prope ...
FUZZY r-REGULAR OPEN SETS AND FUZZY ALMOST r
... (X, T ) and r ∈ I0 , we have: (1) int(µ, r)c = cl(µc , r). (2) cl(µ, r)c = int(µc , r). Definition 2.5. ([5]) Let µ be a fuzzy set in a fuzzy topological space (X, T ) and r ∈ I0 . Then µ is said to be (1) fuzzy r-semiopen if there is a fuzzy r-open set ρ in X such that ρ ≤ µ ≤ cl(ρ, r), (2) fuzzy r ...
... (X, T ) and r ∈ I0 , we have: (1) int(µ, r)c = cl(µc , r). (2) cl(µ, r)c = int(µc , r). Definition 2.5. ([5]) Let µ be a fuzzy set in a fuzzy topological space (X, T ) and r ∈ I0 . Then µ is said to be (1) fuzzy r-semiopen if there is a fuzzy r-open set ρ in X such that ρ ≤ µ ≤ cl(ρ, r), (2) fuzzy r ...
GENERALISED FUZZY CONTINUOUS MAPS IN FUZZY TOPOLOGICAL SPACES Author: Ravi Pandurangan
... introduced the concept of fuzzy topological spaces and studied many properties of fuzzy topological spaces. The purpose of this chapter is to introduce and study the concepts of generalized fuzzy continuous maps, which includes the class of fuzzy continuous maps. Based on the notion of generalized c ...
... introduced the concept of fuzzy topological spaces and studied many properties of fuzzy topological spaces. The purpose of this chapter is to introduce and study the concepts of generalized fuzzy continuous maps, which includes the class of fuzzy continuous maps. Based on the notion of generalized c ...
Soft filters and their convergence properties
... he real world is inherently uncertain, imprecise and vague. To solve complex problems in economics, engineering, environment, sociology, medical science, business management, etc. we cannot successfully use classical methods because of various uncertainties typical for those problems. In recent year ...
... he real world is inherently uncertain, imprecise and vague. To solve complex problems in economics, engineering, environment, sociology, medical science, business management, etc. we cannot successfully use classical methods because of various uncertainties typical for those problems. In recent year ...
IOSR Journal of Mathematics (IOSR-JM)
... Theorem4Let U be a Minimal M-g**open set.Then U = ∩ {WW is a M-g**open set of X containing x} for any element x of U. ProofBy Theorem3, and U is a Minimal M-g**open set containing x, then U W for some M-g**open set W containing x.We have U ∩ {WW is a M-g**open set of X containing x} U. Thus U ...
... Theorem4Let U be a Minimal M-g**open set.Then U = ∩ {WW is a M-g**open set of X containing x} for any element x of U. ProofBy Theorem3, and U is a Minimal M-g**open set containing x, then U W for some M-g**open set W containing x.We have U ∩ {WW is a M-g**open set of X containing x} U. Thus U ...
Approximation on Nash sets with monomial singularities
... Theorem 1.6. If X is a Nash set with monomial singularities then N(X) = c N(X). The ring N(X) has been revealed crucial to develop a satisfactory theory of irreducibility and irreducible components for the semialgebraic setting [10]; as one can expect such theory extends Nash irreducibility and can ...
... Theorem 1.6. If X is a Nash set with monomial singularities then N(X) = c N(X). The ring N(X) has been revealed crucial to develop a satisfactory theory of irreducibility and irreducible components for the semialgebraic setting [10]; as one can expect such theory extends Nash irreducibility and can ...
View PDF - Journal of Computer and Mathematical Sciences
... mappings, Bull. Fac. Sci. Assiut Univ. 12(1), 77-90 (1983). 2. D. Andrijevic’, On b-open sets, Mat. Vesnik, 48, 59-64 (1996). 3. S.P. Arya and R. Gupta, On strongly continuous mappings, Kyungpook Math. J.14, 131143 (1974). 4. R. Devi, S.Sampath Kumar and M. Caldas, On supra α-open sets and sα-contin ...
... mappings, Bull. Fac. Sci. Assiut Univ. 12(1), 77-90 (1983). 2. D. Andrijevic’, On b-open sets, Mat. Vesnik, 48, 59-64 (1996). 3. S.P. Arya and R. Gupta, On strongly continuous mappings, Kyungpook Math. J.14, 131143 (1974). 4. R. Devi, S.Sampath Kumar and M. Caldas, On supra α-open sets and sα-contin ...
Topological dualities and completions for (distributive) partially ordered sets Luciano J. González
... ordered vector spaces, the collection of open or closed subsets of a topological space, etc. In particular and this is more interesting for us, almost all classes of algebras associated to logics are classes of ordered algebras. For instance, the class of Boolean algebras associated to classical pro ...
... ordered vector spaces, the collection of open or closed subsets of a topological space, etc. In particular and this is more interesting for us, almost all classes of algebras associated to logics are classes of ordered algebras. For instance, the class of Boolean algebras associated to classical pro ...
About dual cube theorems
... To end this note, we give a result about the weaker version of the dual of the first cube theorem, here called Axiom 13. Before we state this, we need to give the dual notion of homotopy pull back extension, which we will call ‘homotopy push out coextension’: Definition 12 Any homotopy commutative s ...
... To end this note, we give a result about the weaker version of the dual of the first cube theorem, here called Axiom 13. Before we state this, we need to give the dual notion of homotopy pull back extension, which we will call ‘homotopy push out coextension’: Definition 12 Any homotopy commutative s ...