Results 1 to 10 of about 291,341 (280)
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
doaj +6 more sources
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
doaj +9 more sources
The topological fundamental group and free topological groups
Topology and Its Applications, 2011 The topological fundamental group $π_{1}^{top}$ is a homotopy invariant finer than the usual fundamental group. It assigns to each space a quasitopological group and is discrete on spaces which admit universal covers. For an arbitrary space $X$, we compute the topological fundamental group of the suspension space $Σ(X_+)$ and find that $π_{1}^{top}(Σ ...
Jeremy Brazas
exaly +4 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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)].
openaire +3 more sources
Topological complexity of basis-conjugating automorphism groups [PDF]
, 2008 We compute the topological complexity of Eilenberg-Mac Lane spaces associated to the group of automorphisms of a finitely generated free group which act by conjugation on a given basis, and to certain subgroups.Comment: 12 ...
Cohen, Daniel C., Pruidze, Goderdzi
core +4 more sources
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
doaj +1 more source
Free topological groups with no small subgroups [PDF]
Proceedings of the American Mathematical Society, 1974 The first author has shown that a quotient group of a topological group with no small subgroups can have small subgroups, thus answering a question of Kaplansky in the negative. The argument relied on showing that a free abelian topological group on any metric space has no small subgroups.
Morris, SA, Thompson, HB
openaire +3 more sources