Results 21 to 30 of about 15,325 (297)

A Soft Ideal Topological Space: New Closed Set [PDF]

open access: yes, 2023
To use the topological structure to solve specific problems in many fields, it has become important to generalize it. So, in this work, we begin with an introduction to some of the ideas of ideal topology and soft topology that will be combined to show ...
Noaman, Ibrahim, A. Azzam, A.
core   +2 more sources

Statistical and Ideal Convergences in Topology

open access: yesMathematics, 2023
The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
doaj   +1 more source

Some separation axioms in soft ideal topological spaces [PDF]

open access: yes, 2022
<p>For dealing with uncertainties researchers introduced the concept of soft sets. In this paper, a new class of soft sets called soft delta pre ideal open sets in soft ideal topological space related to the notion of soft pre ideal regular pre ...
F. H. Khedr, O. R. Sayed, and S. R. Mohamed
core   +1 more source

I-Connectedness

open access: yesJournal of New Theory, 2022
In this paper, we introduce a weak form of connectedness with respect to an ideal. We also investigate its relation to connectedness. We examine the I-connectedness property on the new topology introduced by the ideal.
Selahattin Kılınç
doaj   +1 more source

Soft ideal topological spaces

open access: yesSoft Computing, 2021
Abstract The article deals with the correspondence between soft ideal topological spaces and ideal topological ones. Investigation of soft ideal topological spaces is based on methods of general topology and the application of results for soft omega open and strongly soft omega open sets is given.
openaire   +1 more source

A study on continuous functions in semi prime ideal space [PDF]

open access: yes, 2023
In this paper new type of continuous functions namely S-continuous introduced in semi prime ideal space and compare with continuous function in topological space and study some of their properties.
G.HARI SIVA ANNAM   +2 more
core   +1 more source

Some New Sets and Topologies in Ideal Topological Spaces [PDF]

open access: yesChinese Journal of Mathematics, 2013
An ideal topological space is a triplet (X, τ, ℑ), where X is a nonempty set, τ is a topology on X, and ℑ is an ideal of subsets of X. In this paper, we introduce L∗-perfect, R∗-perfect, and C∗-perfect sets in ideal spaces and study their properties. We obtained a characterization for compatible ideals via R∗-perfect sets. Also, we obtain a generalized
R. Manoharan, P. Thangavelu
openaire   +2 more sources

NEUTROSOPHIC NANO IDEAL TOPOLOGICAL STRUCTURES [PDF]

open access: yes, 2018
Neutrosophic nano topology and Nano ideal topological spaces induced the authors to propose this new concept. The aim of this paper is to introduce a new type of structural space called neutrosophic nano ideal topological spaces and investigate the ...
M. Karthika (5156564)   +4 more
core   +1 more source

On a new generalized closure operator in the frame of ideals [PDF]

open access: yesJournal of Mahani Mathematical Research
This paper aims to propose and examine two new operators based on the fundamental structure “ideal” and the notion of “generalized” producing a new generalized ideal topological space.
Salah El-Din Abbas   +3 more
doaj   +1 more source

Further aspects of I K-convergence in topological spaces

open access: yesApplied General Topology, 2021
In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential ...
Ankur Sharmah, Debajit Hazarika
doaj   +1 more source

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