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On the Structure of Topological Spaces
Axioms, 2022 The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial.
Nelson Martins-Ferreira
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Topologies on Smashed Twisted Wreath Products of Metagroups
Axioms, 2023 In this article, topologies on metagroups and quasigroups are studied. Topologies on smashed twisted wreath products of metagroups are scrutinized, which are making them topological metagroups. For this purpose, transversal sets are studied.
Sergey Victor Ludkowski
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Generative network models of altered structural brain connectivity in schizophrenia
NeuroImage, 2021 Alterations in the structural connectome of schizophrenia patients have been widely characterized, but the mechanisms remain largely unknown. Generative network models have recently been introduced as a tool to test the biological underpinnings of ...
Xiaolong Zhang +19 more
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Codimension-2 defects and higher symmetries in (3+1)D topological phases
SciPost Physics, 2023 (3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are special cases.
Maissam Barkeshli, Yu-An Chen, Sheng-Jie Huang, Ryohei Kobayashi, Nathanan Tantivasadakarn, Guanyu Zhu
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Crystal Chemistry and Structural Complexity of the Uranyl Molybdate Minerals and Synthetic Compounds
Crystals, 2023 This paper reviews not the largest, but at the same time quite an interesting, group of natural and synthetic uranyl molybdate compounds. Nowadays, nine minerals of U and Mo are known, but the crystal structures have only been reported for five of them ...
Ivan V. Kuporev +2 more
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Mathematics, 2023 The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali +5 more
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Topological crystalline materials: General formulation, module structure, and wallpaper groups [PDF]
Physical Review B, 2017 We formulate topological crystalline materials on the basis of the twisted equivariant $K$-theory. Basic ideas of the twisted equivariant $K$-theory is explained with application to topological phases protected by crystalline symmetries in mind, and systematic methods of topological classification for crystalline materials are presented.
Ken Shiozaki +2 more
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Fractal and Fractional, 2022 In this paper, we give an affirmative answer to a question about the sufficient conditions which ensure that the set of mild solutions for a fractional impulsive neutral differential inclusion with state-dependent delay, generated by a non-compact semi-group, are not empty compact and an Rδ-set.
Zainab Alsheekhhussain +2 more
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Local stability properties of complex, species‐rich soil food webs with functional block structure
Ecology and Evolution, 2021 Ecologists have long debated the properties that confer stability to complex, species‐rich ecological networks. Species‐level soil food webs are large and structured networks of central importance to ecosystem functioning.
Francisco deCastro +18 more
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Field theories with higher-group symmetry from composite currents
Journal of High Energy Physics, 2021 Higher-form symmetries are associated with transformations that only act on extended objects, not on point particles. Typically, higher-form symmetries live alongside ordinary, point-particle (0-form), symmetries and they can be jointly described in ...
Tomáš Brauner
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