Topological phases and non-Hermitian topology in photonic artificial microstructures by Liu Hui, Lai Pengtao, Wang Haonan, Cheng Hua, Tian Jianguo, Chen Shuqi

Subjects: “…non-hermitian topology…”
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Coupled Fixed Point Theorems in Topological Spaces with Size Function Topology by Gun Sunyeekhan

“…Regarding the concept of size function topology, this allows us to view the topological space X as a metric-like space. …”
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Tilings in topological spaces by F. G. Arenas

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Semi-topological properties by Bhamini M. P. Nayar, S. P. Arya

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On Random Topological Structures by Ravi P. Agarwal, Yeol Je Cho, Reza Saadati

“…The main purpose of this paper is to study topological structure of random normed spaces and random functional analysis. …”
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Topological Methods in Analysis by Salvador Hernández, Lawrence Narici, Javier Trigos-Arrieta

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On topologies over rings by Syed M. Fakhruddin

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Topological Quasilinear Spaces by Yılmaz Yılmaz, Sümeyye Çakan, Şahika Aytekin

“…Thus, we prove that any topological quasilinear space may not satisfy the localization principle of topological vector spaces.…”
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Topological quantum photonics by Amin Hashemi, M. Javad Zakeri, Pawel S. Jung, Andrea Blanco-Redondo

“…Topological quantum photonics explores the interaction of the topology of the dispersion relation of photonic materials with the quantum properties of light. …”
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A Topology on Milnor’s Group of a Topological Field and Continuous Joint Determinants by Sung Myung

“…We introduce a natural topology on Milnor’s K-groups of a topological field as the quotient topology induced by the joint determinant map and investigate the existence of a nontrivial continuous joint determinant by utilizing this topology, generalizing the author’s previous results on the continuous joint determinants for the commuting invertible matrices over R and C.…”
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Topological Study of Zeolite Socony Mobil-5 via Degree-Based Topological Indices by Nouman Saeed, Kai Long, Tanweer Ul Islam, Zeeshan Saleem Mufti, Ayesha Abbas

“…In graph theory, a graph is made up of vertices connected through edges. Topological indices are numerical parameters or descriptors of graph. …”
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Topology in nonlinear extensions of hypernumbers by M. S. Burgin

“…Other topologies in spaces of extended hypernumbers are considered.…”
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Semicompactness in L-topological spaces by Fu-Gui Shi

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Mutually Compactificable Topological Spaces by Martin Maria Kovár

“…Two disjoint topological spaces X, Y are (T2-) mutually compactificable if there exists a compact (T2-) topology on K=X∪Y which coincides on X, Y with their original topologies such that the points x∈X, y∈Y have open disjoint neighborhoods in K. …”
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On λ-rings and topological realization by Donald Yau

“…The question of how many of these filtered λ-ring structures are topologically realizable by the K-theory of torsion-free spaces is also considered for truncated polynomial rings.…”
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On the Topological and Uniform Structure of Diversities by Andrew Poelstra

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Thickness in topological transformation semigroups by Tyler Haynes

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Topological Aspects of the Product of Lattices by Carmen Vlad

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Topological defects in Floquet circuits by Mao Tian Tan, Yifan Wang, Aditi Mitra

“…We introduce a Floquet circuit describing the driven Ising chain with topological defects. The corresponding gates include a defect that flips spins as well as the duality defect that explicitly implements the Kramers-Wannier duality transformation. …”
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A note on the comparison of topologies by Martin M. Kovár

“…Reilly (1977) regarding the comparison of topologies.…”
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