Listar INIT_Articles por autoría "ee31218f-3b86-4641-b08d-03c3b7e5738f"
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A classification of the cofinal structures of precompacta
Elsevier (2020-08)We provide a complete classification of the possible cofinal structures of the families of precompact (totally bounded) sets in general metric spaces, and compact sets in general complete metric spaces. Using this ... -
A countable free closed non-reflexive subgroup of Zc
American Mathematical Society (2017)We prove that the group G = Hom(ZN, Z) of all homomorphisms from the Baer-Specker group ZN to the group Z of integer numbers endowed with the topology of pointwise convergence contains no infinite compact subsets. We ...
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A dichotomy property for locally compact groups
Elsevier (2018-08)We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) ...
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Equicontinuity criteria for metric-valued sets of continuous functions
Elsevier (2017)Combining ideas of Troallic [1] and Cascales, Namioka, and Vera [2], we prove several characterizations of almost equicontinuity and hereditarily almost equicontinuity for subsets of metric-valued continuous functions ...
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Interpolation sets in spaces of continuous metric-valued functions
Elsevier (2018-10)Let X and K be a Cech-complete topological group and a compact group, ˇ respectively. We prove that if G is a non-equicontinuous subset of CHom(X; K), the set of all continuous homomorphisms of X into K, then there is a ...
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On convergent sequences in dual groups
Real Academia de Ciencias Exactas, Físicas y Naturales (2020-01-16)We provide some characterizations of precompact abelian groups G whose dual group G∧ p endowed with the pointwise convergence topology on elements of G contains a nontrivial convergent sequence. In the special case of ...
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Representation of Group Isomorphisms: The Compact Case
Hindawi Publishing Corporation (2015)Let 𝐺� be a discrete group and let A and B be two subgroups of 𝐺�-valued continuous functions defined on two 0-dimensional compact spaces 𝑋� and 𝑌�. A group isomorphism 𝐻� defined between A and B is called separating ...
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Subgroups of direct products closely approximated by direct sums
De Gruyter (2017-09)Let I be an infinite Π set, fGi : i 2 Ig be a family of (topological) groups and G = i∈I Gi be its direct product. For J I, pJ : G ! Π j∈J Gj denotes the projection. We say that a subgroup H of G is: (i) uniformly ...
