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Topological Rough Groups

open access: yesTopological Algebra and its Applications, 2016
The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and rough groups; called topological rough groups on an ...
Bağırmaz Nurettin   +2 more
doaj   +3 more sources

On Characterization of δ-Topological Vector Space [PDF]

open access: yesRatio Mathematica, 2021
The main objective of this paper is to present the study of δ-topological vector space, δ-topological vector space are defined by using δ-open sets and δ-continuous mapping which was introduced by J.H.H. Bayati[3] in 2019. In this paper, along with basic
Shallu Sharma   +2 more
doaj   +2 more sources

ON bi- INTUITIONSTIC TOPOLOGICAL SPACE

open access: yesTikrit Journal of Pure Science, 2023
In this paper we introduce a new definition is called bi- intuitionistic topological space and from this concept we present some kinds of closed set (semi –closed, pre-closed ,β-closed ,α-closed) setes in bi- intuitionistic topological space, define ...
Taha H. Jassim   +2 more
doaj   +1 more source

On the gamma spectrum of multiplication gamma acts

open access: yesKuwait Journal of Science, 2021
In this paper we introduce the concept of topological gamma act as a generalization of Zariski   topology .  Some topological   properties of  this topology   are studied.
Mehdi S. Abbas, Samer A. Jubair
doaj   +1 more source

Hyperspaces of topological vector spaces: their embedding in topological vector spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
Let L L be a real (Hausdorff) topological vector space. The space
Prem Prakash, Murat R. Sertel
openaire   +3 more sources

New Types of Topologies and Neutrosophic Topologies (Improved Version) [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
In this paper we recall the six new types of topologies, and their corresponding topological spaces, that we introduced in the last years (2019-20223), such as: NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp ...
Florentin Smarandache
doaj   +1 more source

Topological nodal line semimetals in holography

open access: yesJournal of High Energy Physics, 2018
We show a holographic model of a strongly coupled topological nodal line semimetal (NLSM) and find that the NLSM phase could go through a quantum phase transition to a topologically trivial state.
Yan Liu, Ya-Wen Sun
doaj   +1 more source

Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space

open access: yesAxioms, 2022
The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized ...
Susmit Bagchi
doaj   +1 more source

Topological invariants for holographic semimetals

open access: yesJournal of High Energy Physics, 2018
We study the behavior of fermion spectral functions for the holographic topological Weyl and nodal line semimetals. We calculate the topological invariants from the Green functions of both holographic semimetals using the topological Hamiltonian method ...
Yan Liu, Ya-Wen Sun
doaj   +1 more source

Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space

open access: yesJournal of Mathematical and Fundamental Sciences, 2015
This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of
Apu Kumar Saha, Debasish Bhattacharya
doaj   +1 more source

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