Results 11 to 20 of about 289,513 (282)
Free Boolean Topological Groups [PDF]
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 character of free topological groups I
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
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On-chip topological edge state cavities [PDF]
Light: Science & ApplicationsConfining light in an on-chip photonic cavity with strong light-matter interactions is pivotal for numerous applications in optical and quantum sciences.
Wenhao Wang +4 more
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Advanced Photonics Research, 2021 The field of topological photonics has seen tremendous and wide‐ranging developments in recent years. Evolving from the broader field of topological insulators, topological photonics systems today harness a variety topological phases.
Dawn T. H. Tan
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Physical Review Research, 2022 The construction and classification of crystalline symmetry protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Crystalline SPT phases are not only of conceptual importance,
Jian-Hao Zhang +3 more
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Irish Mathematical Society Bulletin, 1961 The purpose of this paper is to provide a brief expository sketch of [Proc. Am. Math. Soc. 12, 737-743 (1961; Zbl 0106.026)].
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Separability of Topological Groups: A Survey with Open Problems
Axioms, 2018 Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
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Big Free Groups are Almost Free [PDF]
, 2015 It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism.
Tlas, Tamer
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Strengthening connected Tychonoff topologies
Applied General Topology, 2002 The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff topology is considered. We show that every Tychonoff space X satisfying ω (X) ≤ c and c (X) ≤ N0 admits a finer strongly σ-discrete connected Tychonoff ...
Dimitri Shakhmatov +3 more
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Tensor renormalization group study of two-dimensional U(1) lattice gauge theory with a θ term
Journal of High Energy Physics, 2020 We make an analysis of the two-dimensional U(1) lattice gauge theory with a θ term by using the tensor renormalization group. Our numerical result for the free energy shows good consistency with the exact one at finite coupling constant.
Yoshinobu Kuramashi, Yusuke Yoshimura
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