Listar INIT_Articles por autoría "c7af2c7f-57f1-4544-ba04-f5c282829fb8"
Mostrando ítems 1-15 de 15
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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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Bounded Sets in Topological Spaces
MDPI (2022-02)Let G be a monoid that acts on a topological space X by homeomorphisms such that there is a point x0∈X with GU=X for each neighbourhood U of x0. A subset A of X is said to be G-bounded if for each neighbourhood U of x0 ...
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Contributions to the Bohr topology by W.W. Comfort
Elsevier (2019)The important rôle that W. W. Comfort played in the study of the Bohr topology is described.
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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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Homomorphic Encoders of Profinite Abelian Groups II
MDPI (2022-03-29)Let {Gi:i∈N} be a family of finite Abelian groups. We say that a subgroup G≤∏i∈NGi is order controllable if for every i∈N, there is ni∈N such that for each c∈G, there exists c1∈G satisfying c1|[1,i]=c|[1,i], supp(c1)⊆[1,ni], ...
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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 closed subgroups of precompact groups
De Gruyter (2022-09-28)It is a Theorem of W. W. Comfort and K. A. Ross that if G is a subgroup of a compact Abelian group, and S denotes those continuous homomorphisms from G to the one-dimensional torus, then the topology on G is the initial ...
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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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Reflections in topological algebraic structures
Elsevier (2020-08)Let C be an epireflective subcategory of Top and let rC be the epireflective functor associated with C. If A denotes a (semi)topological algebraic subcategory of Top, we study when rC (A) is an epireflective subcategory ...
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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 ...
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The weak compactification of locally compact groups
Elsevier (2021)We further investigate the weak topology generated by the irreducible unitary representations of a group G. A deep result due to Ernest [13] and Hughes [22] asserts that every weakly compact subset of a locally compact ...
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When a totally bounded group topology is the Bohr topology of a LCA group
Elsevier (2019-06-01)We look at the Bohr topology of maximally almost periodic groups (MAP, for short). Among other results, we investigate when a Hausdorff precompact abelian group (G; w) is the Bohr re ection of a locally compact abelian ...
