Results 11 to 20 of about 15,325 (297)

Semi generalization of δI*-closed sets in ideal topological space [PDF]

Ratio Mathematica, 2022
In this paper we introduce the notion of semi generalized dI*-closed sets or gsdI*-closed sets using semi open sets and investigate its basic properties and characterizations in an ideal topological space.
K Palani, M Karthigai Jothi
doaj   +3 more sources

Soft ideal topological space and mixed fuzzy soft ideal topological space [PDF]

Boletim da Sociedade Paranaense de Matemática, 2017
In this paper we introduce fuzzy soft ideal and mixed fuzzy soft ideal topological spaces and some properties of this space. Also we introduce fuzzy soft $I$-open set, fuzzy soft $\alpha$-$I$-open set, fuzzy soft pre-$I$-open set, fuzzy soft semi-$I$-open set and fuzzy soft $\beta$-$I$-open set and discuss some of their properties.
Manash Borah, Bipan Hazarika
openaire   +5 more sources

Introduction to generalized topological spaces [PDF]

Applied General Topology, 2011
We introduce the notion of generalized topological space (gt-space). Generalized topology of gt-space has the structure of frame and is closed under arbitrary unions and finite intersections modulo small subsets. The family of small subsets of a gt-space
Irina Zvina
doaj   +3 more sources

Spectral Synthesis and Topologies on Ideal Spaces for Banach*-Algebras [PDF]

Journal of Functional Analysis, 2002
This paper continues the study of spectral synthesis and the topologies $τ_{\infty}$ and $τ_r$ on the ideal space of a Banach algebra, concentrating on the class of Banach $^*$-algebras, and in particular on $L^1$-group algebras. It is shown that if a group G is a finite extension of an abelian group then $τ_r$ is Hausdorff on the ideal space of $L^1(G)
Feinstein, Joel, Kaniuth, E., Somerset, D.W.B.   +2 more
openaire   +6 more sources

On certain types of sets in ideal topological spaces [PDF]

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
In the present article we introduce certain typical sets in an ideal topological space, some such corresponding versions in topological spaces being already there in the literature.
Mandal Dhananjoy, Mukherjee M. N.
doaj   +2 more sources

On star Rothberger spaces modulo an ideal [PDF]

Applied General Topology
In this article, we introduce the ideal star-Rothberger property by coupling the notion of a star operator to that of an ideal Rothberger space, after which some of its topological characteristics are analysed. By creating relationships between a numbers
Susmita Sarkar, Prasenjit Bal, Mithun Datta   +2 more
doaj   +3 more sources

On Pre-γ-I-Open Sets In Ideal Topological Spaces [PDF]

Science Journal of University of Zakho, 2018
In this paper, we introduce and study the notion of pre-γ-I-open sets in ideal topological space.
Hariwan Z. Ibrahim
doaj   +2 more sources

TOPOLOGIES ON THE FUNCTION SPACE \(Y^X\) WITH VALUES IN A TOPOLOGICAL GROUP [PDF]

Ural Mathematical Journal
Let \(Y^X\) denote the set of all functions from \(X\) to \(Y\). When \(Y\) is a topological space, various topologies can be defined on \(Y^X\). In this paper, we study these topologies within the framework of function spaces.
Kulchhum Khatun, Shyamapada Modak
doaj   +3 more sources

Hausdorf Space in Neutrosophic Ideal Topological Spaces: Applications in Decision Making [PDF]

Neutrosophic Sets and Systems
This paper presents the concept of neutrosophic I–Hausdorffness in the context of neutrosophic ideal topological spaces, along with various related theorems.
Kalaivani C, Sofia Jennifer J
doaj   +3 more sources

Topology of the Maximal Ideal Space of $H^{\infty}$ [PDF]

, 1999
We study the structure of the maximal ideal space $M(H^{\infty})$ of the algebra $H^{\infty}=H^{\infty}(\Di)$ of bounded analytic functions defined on the open unit disk $\Di\subset\Co$. Based on the fact that $dim\ M(H^{\infty})=2$ we prove for $H^{\infty}$ the matrix-valued corona theorem.
Brudnyi, Alexander, Alexander Brudnyi
openaire   +3 more sources