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The topology of Double Field Theory

open access: yesJournal of High Energy Physics, 2018
We describe the doubled space of Double Field Theory as a group manifold G with an arbitrary generalized metric. Local information from the latter is not relevant to our discussion and so G only captures the topology of the doubled space.
Falk Hassler
doaj   +3 more sources

Decoherence and relaxation of topological states in extended quantum Ising models

open access: yesSciPost Physics, 2019
We study the decoherence and the relaxation dynamics of topological states in an extended class of quantum Ising chains which can present a manyfold ground state subspace.
Hannes Weisbrich, Wolfgang Belzig, Gianluca Rastelli
doaj   +3 more sources

Triangular Neutrosophic Topology [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In this current article, the primary focus is to develop the concept of neutrosophic topology as triangular neutrosophic topology. We extend the neutrosophic set operations, we newly introduce the defuzzification, examples, and basics to clear the ...
Ali Hamza   +2 more
doaj   +1 more source

The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

open access: yesApplied General Topology, 2022
Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M)
Saif Salam, Khaldoun Al-Zoubi
doaj   +1 more source

Landau levels of the Euler class topology

open access: yesPhysical Review Research, 2022
Two-dimensional systems with C_{2}T (PT) symmetry exhibit the Euler class topology E∈Z in each two-band subspace realizing a fragile topology beyond the symmetry indicators.
Yifei Guan   +2 more
doaj   +1 more source

Zariski topology on the spectrum of fuzzy classical primary submodules

open access: yesApplied General Topology, 2022
Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of fuzzy primary ideals and fuzzy ...
Phakakorn Panpho, Pairote Yiarayong
doaj   +1 more source

PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE [PDF]

open access: yesJournal of Algebraic Systems, 2020
‎‎Let $R$ be a commutative ring with identity and let $M$ be an $R$-module‎. ‎We define the primary spectrum of $M$‎, ‎denoted by $\mathcal{PS}(M)$‎, ‎to be the set of all primary submodules $Q$ of $M$ such that $(\operatorname{rad}Q:M)=\sqrt{(Q:M ...
H. Bijari   +2 more
doaj   +1 more source

Interval Valued Neutrosophic Topological Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Within this paper, we present and research the definition of interval valued neutrosophic topological space along with interval valued neutrosophic finer and interval valued neutrosophic coarser topologies. We also describe interval valued neutrosophic
T. Nanthini , A. Pushpalatha
doaj   +1 more source

Extending Whitney's extension theorem: nonlinear function spaces [PDF]

open access: yes, 2020
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael   +1 more
core   +4 more sources

Neutrosophic Topology [PDF]

open access: yesNeutrosophic Sets and Systems, 2016
In this paper, we redefine the neutrosophic set operations and, by using them, we introduce neutrosophic topology and investigate some related properties such as neutrosophic closure, neutrosophic closure, neutrosophic interior, neutrosophic exterior ...
Serkan Karatas, Cemil Kuru
doaj   +1 more source

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