Regularity Conditions for Approximately Convex Functions on Abelian Topological Groups
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DOI: 10.1007/s00025-016-0544-9
Abstract: AbstractLet $${(G, +)}$$(G,+) be an Abelian topological group, D be a subset of G and let a function $${\alpha: D - D \rightarrow \mathbb{R}}$$α:D-D→R be locally bounded above at zero. A function $${f: D \rightarrow… read more here.
Keywords: abelian topological; approximately convex; conditions approximately; regularity conditions ... See more keywords
Notes on countable tightness of the subspaces of free (Abelian) topological groups
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DOI: 10.1016/j.topol.2017.10.014
Abstract: Abstract Given a Tychonoff space X , let F ( X ) and A ( X ) be respectively the free topological group and the free Abelian topological group over X in the sense of… read more here.
Keywords: abelian topological; tightness; space; tightness countable ... See more keywords
Abelian topological order of ν=2/5 and 3/7 fractional quantum Hall states in lattice models
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DOI: 10.1103/physrevb.103.075132
Abstract: Determining the statistics of elementary excitations supported by fractional quantum Hall states is crucial to understanding their properties and potential applications. In this paper, we use the topological entanglement entropy as an indicator of Abelian… read more here.
Keywords: quantum hall; fractional quantum; hall states; abelian topological ... See more keywords
Model of chiral spin liquids with Abelian and non-Abelian topological phases
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DOI: 10.1103/physrevb.96.224420
Abstract: We present a two-dimensional lattice model for quantum spin-1/2 for which the low-energy limit is governed by four flavors of strongly interacting Majorana fermions. We study this low-energy effective theory using two alternative approaches. The… read more here.
Keywords: abelian topological; non abelian; abelian non; model ... See more keywords