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Chiral polaron formation on the edge of topological quantum matter. [PDF]
Vashisht A +5 more
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Gluon scattering on the self-dual dyon. [PDF]
Adamo T, Bogna G, Mason L, Sharma A.
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On the profinite rigidity of free and surface groups. [PDF]
Morales I.
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FREE ABELIAN TOPOLOGICAL GROUPS ON SPHERES
The Quarterly Journal of Mathematics, 1984If X is a completely regular topological space, then the abelian topological group F(X) is a (Markov) free abelian topological group on X if X is a subspace of F(X), X generates F(X) algebraically and for every continuous mapping \(\phi\) of X into any abelian topological group G there exists a continuous homomorphism \(\Phi\) of F(X) into G that ...
Katz, Eli +2 more
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Free subgroups of free abelian topological groups
Mathematical Proceedings of the Cambridge Philosophical Society, 1986In this paper we prove a theorem which gives general conditions under which the free abelian topological group F(Y) on a space Y can be embedded in the free abeian topological group F(X) on a space X.
Katz, E., Morris, S. A., Nickolas, P.
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Tukey order and diversity of free Abelian topological groups
Journal of Pure and Applied Algebra, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Open subgroups of free abelian topological groups
Mathematical Proceedings of the Cambridge Philosophical Society, 1993We prove that any open subgroup of the free abelian topological group on a completely regular space is a free abelian topological group. Moreover, the free topological bases of both groups have the same covering dimension. The prehistory of this result is as follows.
Morris, Sidney A., Pestov, Vladimir G.
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EMBEDDING OF THE FREE ABELIAN TOPOLOGICAL GROUP INTO
Mathematika, 2019We consider the following question: for which metrizable separable spaces does the free abelian topological group isomorphically embed into . While for many natural spaces such an embedding exists, our main result shows that if is a Cook continuum or is a rigid Bernstein set, then does not embed into as a topological subgroup.
Mikołaj Krupski +2 more
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