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Topological Classification and Stability of Fermi Surfaces [PDF]
, 2013 In the framework of the Cartan classification of Hamiltonians, a kind of topological classification of Fermi surfaces is established in terms of topological charges.
Wang, Z. D., Zhao, Y. X.
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Counting subgroups and topological group topologies [PDF]
Pacific Journal of Mathematics, 1985 Algebra. Either |^(G)| = 2a or |^(G)| = a. If \S?(G)\ = a then a = co. We describe and characterize those (countable) G such that \S?(G)\ = ω, and we give several examples. Topology. If γ 2 α, then &(y) = 0; otherwise 2 αγ . If γ > 2 α then Jt(y) = 0; if log(α) < γ < 2 α then = 2 α γ; and if ω < γ < a then K(γ)| = 2 α. 0. Introduction and motivation.
Berhanu, Shiferaw +2 more
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Fundamental groups of topological stacks with slice property [PDF]
, 2007 The main result of the paper is a formula for the fundamental group of the coarse moduli space of a topological stack. As an application, we find simple general formulas for the fundamental group of the coarse quotient of a group action on a topological ...
Armstrong +8 more
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Compatible Group Topologies [PDF]
Proceedings of the American Mathematical Society, 1975 Two topologies defined on some space are compatible if they contain in common a Hausdorff topology. The following result is proved for two compatible group topologies A 1 {\mathcal {A}_1} and A
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A Selection Principle and Products in Topological Groups
Axioms, 2022 We consider the preservation under products, finite powers, and forcing of a selection-principle-based covering property of T0 topological groups. Though the paper is partly a survey, it contributes some new information: (1) The product of a strictly o ...
Marion Scheepers
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Covering Groups of Nonconnected Topological Groups and 2-Groups [PDF]
, 2019 We investigate the universal cover of a topological group that is not necessarily connected. Its existence as a topological group is governed by a Taylor cocycle, an obstruction in 3-cohomology.
Rumynin, Dmitriy +2 more
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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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A Study on Neutrosophic Bitopological Group [PDF]
Neutrosophic Sets and Systems, 2020 In this paper we try to introduce neutrosophic bitopological group. We try to investigate some new definition and properties of neutrosophic bitopological group.
Bhimraj Basumatary, Nijwm Wary
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Topologically complete groups [PDF]
Proceedings of the American Mathematical Society, 1972 Topologically complete groups are characterized by the existence of a compact subgroup such that the coset space is topologically complete and metrizable. Coset spaces of topologically complete groups and extensions of one topologically complete group by another are again topologically complete.
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Topological groups of bounded homomorphisms on a topological group [PDF]
Filomat, 2016 We consider a few types of bounded homomorphisms on a topological group. These classes of bounded homomorphisms are, in a sense, weaker than the class of continuous homomorphisms. We show that with appropriate topologies each class of these homomorphisms on a complete topological group forms a complete topological group.
Kocinac, Ljubisa D. R., Zabeti, Omid
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