Listar MAT_Articles por autoría "87908982-cb8b-4bdc-9e17-b0fead534357"

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 ...