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Some Weaker Forms of Bipolar Neutrosophic Nano * Open Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
In this paper, the weaker forms of open sets in Bipolar Neutrosophic Nano* (BNN*) topology are studied. This topology is defined on a space of bipolar neutrosophic sets with respect to the lower, upper, boundary approximations and the union and ...
G. Gincy   +2 more
doaj   +1 more source

Boundary topological superconductors [PDF]

open access: yesPhysical Review B, 2021
For strongly anisotropic time-reversal invariant (TRI) insulators in two and three dimensions, the band inversion can occur respectively at all TRI momenta of a high symmetry axis and plane. Although these classes of materials are topologically trivial as the strong and weak $Z_{2}$ indices are all trivial, they can host an even number of unprotected ...
Bo-Xuan Li, Zhongbo Yan
openaire   +2 more sources

Boundaries & localisation with a topological twist

open access: yesJournal of High Energy Physics, 2023
A bstract We study the partition functions of topologically twisted 3d $$ \mathcal{N} $$ N
Crew, Samuel, Zhang, Daniel, Zhao, Boan
openaire   +6 more sources

Hermitian Bulk  –  Non-Hermitian Boundary Correspondence

open access: yesPRX Quantum, 2023
Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, line-gapped systems can always be adiabatically deformed to a Hermitian ...
Frank Schindler   +3 more
doaj   +1 more source

Topological Boundaries of Unitary Representations [PDF]

open access: yesInternational Mathematics Research Notices, 2020
AbstractWe introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $\Gamma $ to the setting of a general unitary representation $\pi : \Gamma \to B(\mathcal H_\pi )$. This space, which we call the “Furstenberg–Hamana boundary” (or "FH-boundary") of the pair $(\Gamma , \pi )$, is a $\Gamma $-invariant subspace ...
Bearden, Alex, Kalantar, Mehrdad
openaire   +2 more sources

Automatic learning of topological phase boundaries [PDF]

open access: yesPhysical Review E, 2021
Topological phase transitions, which do not adhere to Landau's phenomenological model (i.e. a spontaneous symmetry breaking process and vanishing local order parameters) have been actively researched in condensed matter physics. Machine learning of topological phase transitions has generally proved difficult due to the global nature of the topological ...
Kerr, Alexander   +3 more
openaire   +3 more sources

Bulk-boundary thermodynamic equivalence: a topology viewpoint

open access: yesJournal of High Energy Physics, 2023
Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended thermodynamics, mixed ...
Ming Zhang, Jie Jiang
doaj   +1 more source

Topological inference of manifolds with boundary

open access: yesComputational Geometry, 2020
Given a set of data points sampled from some underlying space, there are two important challenges in geometric and topological data analysis when dealing with sampled data: reconstruction -- how to assemble discrete samples into global structures, and inference -- how to extract geometric and topological information from data that are high-dimensional,
Yuan Wang, Bei Wang 0001
openaire   +4 more sources

Heptagonal Neutrosophic Topology [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
This article aims at developing the concept of heptagonal neutrosophic topology using heptagonal neutrosophic numbers. The heptagonal neutrosophic union,intersection and complement defined to compare the HNN.
E. Kungumaraj   +2 more
doaj   +1 more source

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

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