The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval [PDF]
Journal of the London Mathematical Society, 1997 10 pages, AmS TeX 2 ...
Leiderman, Arkady +2 more
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Countably compact group topologies on the free Abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter [PDF]
Acta Mathematica Hungarica, 2019 We prove that the existence of a selective ultrafilter implies the existence of a countably compact Hausdorff group topology on the free Abelian group of size continuum. As a consequence, we show that the existence of a selective ultrafilter implies the existence of a Wallace semigroup (i.e., a countably compact both-sided cancellative topological ...
Boero, A. C. +2 more
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The Mackey problem for free abelian topological groups [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018 According to the classical Mackey Arens theorem, to every locally convex vector can be assigned a locally convex vector space topology on the same underlying space which is the finest among all locally convex vector space topologies giving rise to the same dual space as the original topology. It was shown in [the author, Proc. Am. Math. Soc. 146, No. 8,
Saak Gabriyelyan
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Electric-Current-Assisted Nucleation of Zero-Field Hopfion Rings. [PDF]
Adv MaterThis work reports a novel and efficient nucleation protocol for 3D localized topological magnetic solitons‐hopfion rings in chiral magnets using pulsed electric currents. By using Lorentz transmission electron microscopy and topological analysis, we report characteristic features and extraordinary stability of hopfion rings in zero or inverted external
Chen X +12 more
europepmc +2 more sources
Group actions on topological graphs [PDF]
, 2010 We define the action of a locally compact group $G$ on a topological graph $E$. This action induces a natural action of $G$ on the $C^*$-correspondence ${\mathcal H}(E)$ and on the graph $C^*$-algebra $C^*(E)$.
Deaconu, Valentin +2 more
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Refining connected topological group topologies on Abelian torsion-free groups
Journal of Pure and Applied Algebra, 1998 The authors develop a technique for refining certain topological groups. The main result of the paper is: Theorem. Let \(G\) be a connected Abelian torsion-free group with weight less than or equal to \(\aleph_1\) and cellularity less than or equal to \(\aleph_0\).
Tkačenko, Michael G. +1 more
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The character of free topological groups II
Applied General Topology, 2005 A systematic analysis is made of the character of the free and free abelian topological groups on metrizable spaces and compact spaces, and on certain other closely related spaces.
Peter Nickolas, Mikhail Tkachenko
doaj +1 more source
Minimal pseudocompact group topologies on free abelian groups
Topology and its Applications, 2009 18 ...
DIKRANJAN, Dikran +2 more
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Free Topological Groups and the Projective Dimension of a Locally Compact Abelian Group [PDF]
Proceedings of the American Mathematical Society, 1973 It is shown that a free topological group on a k ω {k_\omega } -space is a k ω {k_\omega } -space. Using this it is proved that if X X is a k ω {k_\omega } -group then it is a ...
Mack, John +2 more
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Stanley-Reisner rings of Buchsbaum complexes with a free action by an abelian group [PDF]
, 2018 We consider simplicial complexes admitting a free action by an abelian group. Specifically, we establish a refinement of the classic result of Hochster describing the local cohomology modules of the associated Stanley--Reisner ring, demonstrating that ...
Sawaske, Connor
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