Results 41 to 50 of about 12,992,220 (343)
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
core +2 more sources
Magnetic topological quantum chemistry [PDF]
Nature Communications, 2020 For over 100 years, the group-theoretic characterization of crystalline solids has provided the foundational language for diverse problems in physics and chemistry.
Benjamin J. Wieder +6 more
semanticscholar +1 more source
Topological Algebra and its Applications, 2016 The concept of topological group is a simple combination of the concepts of abstract group and topological space. The purpose of this paper is to combine the concepts of topological space and rough groups; called topological rough groups on an ...
Bağırmaz Nurettin +2 more
doaj +1 more source
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
core +2 more sources
Topological stability and pseudo-orbit tracing property of group actions [PDF]
, 2016 In this note we extend the concept of topological stability from homeomorphisms to group actions on compact metric spaces, and prove that if an action of a finitely generated group is expansive and has the pseudo-orbit tracing property then it is ...
Nhan-Phu Chung, Keonhee Lee
semanticscholar +1 more source
Many-body topological invariants in fermionic symmetry-protected topological phases : Cases of point group symmetries [PDF]
, 2016 We propose the definitions of many-body topological invariants to detect symmetry-protected topological phases protected by point group symmetry, using partial point group transformations on a given short-range entangled quantum ground state.
Ken Shiozaki, Hassan Shapourian, S. Ryu
semanticscholar +1 more source
Complete Invariant ⋆-Metrics on Semigroups and Groups
Axioms, 2022 In this paper, we study the complete ⋆-metric semigroups and groups and the Raǐkov completion of invariant ⋆-metric groups. We obtain the following. (1) Let (X,d⋆) be a complete ⋆-metric space containing a semigroup (group) G that is a dense subset of X.
Shi-Yao He, Jian-Cai Wei, Li-Hong Xie
doaj +1 more source
When is the Isbell topology a group topology?
Topology and its Applications, 2010 Conditions on a topological space $X$ under which the space $C(X,\mathbb{R})$ of continuous real-valued maps with the Isbell topology $ $ is a topological group (topological vector space) are investigated. It is proved that the addition is jointly continuous at the zero function in $C_ (X,\mathbb{R})$ if and only if $X$ is infraconsonant.
Dolecki, Szymon +1 more
openaire +4 more sources
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
doaj +1 more source
Pθ-Topological Groups in Nonstandard Analysis [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 The aim of this paper is to introduce and study a new class of topological groups called Pθ-topological group. By using some nonstandard techniques, we investigated some properties of Pθ-monads in Pθ-topological group.
Tahir Ismail +2 more
doaj +1 more source