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Topological Space-Time Crystal. [PDF]
We introduce a new class of out-of-equilibrium noninteracting topological phases: the topological space-time crystals. These are time-dependent quantum systems that do not have discrete spatial translation symmetries but instead are invariant under ...
Yang Peng
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Fuzzy metric topology space and manifold [PDF]
This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
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Topological natures of the Gauss-Bonnet black hole in AdS space [PDF]
In the recent proposal [Phys. Rev. Lett. 129, 191101 (2022)], the black holes were viewed as topological thermodynamic defects by using the generalized off-shell free energy.
Cong-xin Liu, Jin Wang
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Topological transformation and free-space transport of photonic hopfions [PDF]
Structured light fields embody strong spatial variations of polarisation, phase and amplitude. Understanding, characterization and exploitation of such fields can be achieved through their topological properties.
Yijie Shen+5 more
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Topological Photonic Crystals: Physics, Designs, and Applications [PDF]
Recent research in topological photonics has not only proposed and realized novel topological phenomena such as one‐way broadband propagation and robust transport of light, but also designed and fabricated photonic devices with high‐performance indexes ...
Guo-Jing Tang+5 more
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\(\mathcal{I}^{\mathcal{K}}\)-SEQUENTIAL TOPOLOGY
In the literature, \(\mathcal{I}\)-convergence (or convergence in \(\mathcal{I}\)) was first introduced in [11]. Later related notions of \(\mathcal{I}\)-sequential topological space and \(\mathcal{I}^*\)-sequential topological space were introduced and ...
H. S. Behmanush, M. Küçükaslan
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Pentapartitioned Neutrosophic Topological Space [PDF]
The main focus of this study is to present the notions of pentapartitioned neutrosophic topological space. We introduce the notions of closure and interior operator of pentapartitioned neutrosophic sets in pentapartitioned neutrosophic topological space ...
Suman Das, Binod Chandra Tripathy
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Convergence of closed subsets in a topological space [PDF]
Edward G. Effros
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Observation of Protected Photonic Edge States Induced by Real-Space Topological Lattice Defects. [PDF]
Topological defects (TDs) in crystal lattices are elementary lattice imperfections that cannot be removed by local perturbations, due to their real-space topology.
Qiang Wang+3 more
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Separation Axioms for Intuitionistic Neutrosophic Crisp supra and Infra Topological Spaces [PDF]
The objective of this paper is to introduce a new intuitionistic neutrosophic crisp points in intuitionistic neutrosophic crisp topological space, where the intuitionistic neutrosophic crisp limit point was defined using intuitionistic neutrosophic crisp
Riad K. Al-Hamido
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