Listar Departament: Matemàtiques por autoría "87908982-cb8b-4bdc-9e17-b0fead534357"
Mostrando ítems 1-5 de 5
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Bounded Sets in Topological Spaces
Bors, Cristina; Ferrer, María V.; Hernández, Salvador 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 ... -
Homomorphic encoders of profinite abelian groups I
Ferrer, María V.; Hernández, Salvador Elsevier (2023-05)Let {Gi |i ∈ N} be a family of finite Abelian groups. We say that a subgroup G ≤ i∈N Gi is order controllable if for every i ∈ N there is ni ∈ N such that for each c ∈ G, there exists a ∈ G satisfying that a|[1,i] = ... -
Homomorphic Encoders of Profinite Abelian Groups II
Ferrer, María V.; Hernández, Salvador 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], ... -
Tensor products of topological abelian groups and Pontryagin duality
Ferrer, María V.; HERNÁNDEZ ARZUSA, JULIO CÉSAR; Hernandez, Salvador Elsevier (2024-02-14)Let G be the group of all Z-valued homomorphisms of the Baer-Specker group ZN. The group G is algebraically isomorphic to Z(N), the infinite direct sum of the group of integers, and equipped with the topology of pointwise ... -
The weak compactification of locally compact groups
Ferrer, María V.; Hernández, Salvador 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 ...