Results 21 to 30 of about 445,777 (326)
On approximation of homeomorphisms of a Cantor set [PDF]
, 2007 We continue to study topological properties of the group Homeo(X) of all homeomorphisms of a Cantor set X with respect to the uniform topology tau, which was started in the paper (S. Bezuglyi, A.H. Dooley, and J.
Medynets, Konstantin
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Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states [PDF]
, 2015 It has been known that an anti-unitary symmetry such as time-reversal or charge conjugation is needed to realize Z2 topological phases in non-interacting systems. Topological insulators and superconducting nanowires are representative examples of such Z2
Gomi, Kiyonori +2 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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Free Boolean Topological Groups
Axioms, 2015 Known and new results on free Boolean topological groups are collected. An account of the properties that these groups share with free or free Abelian topological groups and properties specific to free Boolean groups is given.
Ol’ga Sipacheva
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The equivalent condition of G-asymptotic tracking property and G-Lipschitz tracking property
Open Mathematics, 2022 In this paper, we introduce the concepts of GG-Lipschitz tracking property and GG-asymptotic tracking property in metric GG-space and obtain the equivalent conditions of GG-asymptotic tracking property in metric GG-space.
Ji Zhanjiang
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Pseudocompact and precompact topological subsemigroups of topological groups
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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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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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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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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