Results 11 to 20 of about 57,085 (156)
Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Countably compact group topologies on arbitrarily large free Abelian groups
Topology and its Applications, 2023 We prove that if there are $\mathfrak c$ incomparable selective ultrafilters then, for every infinite cardinal $ $ such that $ ^ = $, there exists a group topology on the free Abelian group of cardinality $ $ without nontrivial convergent sequences and such that every finite power is countably compact.
Matheus K. Bellini +3 more
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Nuclear Physics B, 2022 We extend the (gauged) Skyrme model to the case in which the global isospin group (which usually is taken to be SU(N)) is a generic compact connected Lie group G.
S.L. Cacciatori +4 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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A Distinguished Subgroup of Compact Abelian Groups
Axioms, 2022 Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus.
Dikran Dikranjan +3 more
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Free Abelian topological groups and the Pontryagin-Van Kampen duality [PDF]
Bulletin of the Australian Mathematical Society, 1995 We study the class of Tychonoff topological spaces such that the free Abelian topological group A(X) is reflexive (satisfies the Pontryagin-van Kampen duality). Every such X must be totally path-disconnected and (if it is pseudocompact) must have a trivial first cohomotopy group π1(X).
Galindo, Jorge, Hernández, Salvador
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Non-invertible global symmetries and completeness of the spectrum
Journal of High Energy Physics, 2021 It is widely believed that consistent theories of quantum gravity satisfy two basic kinematic constraints: they are free from any global symmetry, and they contain a complete spectrum of gauge charges.
Ben Heidenreich +5 more
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Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings [PDF]
Proceedings of the American Mathematical Society, 1984 We will show that any complete Hausdorff ring R R which admits, as a basis of neighborhoods of 0, a family of right ideals I I with R / I R/I cotorsion-free can be realized as a topological endomorphism ring of some torsion-free abelian group with the finite ...
Dugas, Manfred, Göbel, Rüdiger
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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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Free abelian topological groups on countable CW-complexes [PDF]
Bulletin of the Australian Mathematical Society, 1990 Let n be a positive integer, Bn the closed unit ball in Euclidean n-space, and X any countable CW-complex of dimension at most n. It is shown that the free Abelian topological group on Bn, F(Bn), has F(X) as a closed subgroup. It is also shown that for every differentiable manifold Y of dimension at most n, F(Y) is a closed subgroup of F(Bn).
Katz, Eli, Morris, Sidney A.
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