Results 31 to 40 of about 57,085 (156)
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 topological group topologies on free Abelian groups from selective ultrafilters
Topology and its Applications, 2007 A free ultrafilter \(p\) on the natural numbers \(\omega\) is called selective if for every partition \(\{ A_n : n \in \omega \}\) of \(\omega\), either one of the \(A_n\)'s belongs to \(p\) or there is a selector \(B \in p\) such that all \(B \cap A_n\) have at most one element.
Madariaga-Garcia, Roberto E. +1 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,
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On automorphism groups of Toeplitz subshifts
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
doaj +1 more source
On the topological full group of a minimal Cantor Z^2-system
, 2012 Grigorchuk and Medynets recently announced that the topological full group of a minimal Cantor Z-action is amenable. They asked whether the statement holds for all minimal Cantor actions of general amenable groups as well.
Elek, Gabor, Monod, Nicolas
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Labeled binary planar trees and quasi-Lie algebras
, 2009 We study the natural map eta between a group of binary planar trees whose leaves are labeled by elements of a free abelian group H and a certain group D(H) derived from the free Lie algebra over H.
Garoufalidis +6 more
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On unitary representability of topological groups [PDF]
, 2009 We prove that the additive group (E*, τ k (E)) of an -Banach space E, with the topology τ k (E) of uniform convergence on compact subsets of E, is topologically isomorphic to a subgroup of the unitary group of some Hilbert space (is unitarily ...
Galindo, Jorge
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Selectively sequentially pseudocompact group topologies on torsion and torsion-free Abelian groups
Topology and its Applications, 2017 A space X is selectively sequentially pseudocompact if for every sequence (U_n) of non-empty open subsets of X, one can choose a point x_n in each U_n in such a way that the sequence (x_n) has a convergent subsequence. Let G be a group from one of the following three classes: (i) V-free groups, where V is an arbitrary variety of Abelian groups; (ii ...
Dorantes-Aldama, Alejandro +1 more
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Noncommutative resolutions and CICY quotients from a non-Abelian GLSM
SciPost PhysicsWe discuss a one-parameter non-Abelian GLSM with gauge group $(U(1)× U(1)× U(1))\rtimes\mathbb{Z}_3$ and its associated Calabi-Yau phases. The large volume phase is a free $\mathbb{Z}_3$-quotient of a codimension $3$ complete intersection of degree-$(1,1,
Johanna Knapp, Joseph McGovern
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