Some topological operators via grills
Authors
Abstract:
In this paper, we define and study two operators $Phi^s$ and $Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $tau^s$ induced from operators $Phi^s$ and $Psi^s$.
similar resources
some topological operators via grills
in this paper, we de ne and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology s induced from operatorss and s.
full textOn Tychonoff's type theorem via grills
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...
full textSome Results Related to Topological Groups via Ideal Topological Spaces
An ideal on a set X is a nonempty collection of subsets of X with heredity property which is also closed finite unions. The concept of Γδ : P(X)→ τ defined as follows for every A ∈ X, Γδ(A) = {x ∈ X : there exists a U ∈ τ δ(x) such that U − A ∈ I}, was introduced by Al-Omari and Hatir [1]. In this paper, we introduce and study δ∗-homeomorphism and Γδ-homeomorphism. Also we give some application...
full textSome properties of continuous linear operators in topological vector PN-spaces
The notion of a probabilistic metric space corresponds to thesituations when we do not know exactly the distance. Probabilistic Metric space was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are topological vector spaces and the open mapping an...
full textsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولTopological mesh operators
In this paper we introduce an unified framework for basic operations on combinatorial 2manifolds with or without boundary. We show that there are two kinds of primitive operators on the underlying meshes: operators which change the topological characteristic of the mesh and operators which just modify its combinatorial structure. We present such operators and demonstrate that they provide a com...
full textMy Resources
Journal title
volume 05 issue 03
pages 199- 204
publication date 2016-09-22
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023