7 citations · 8 across the 6 of their papers we have counts for
7 papers
The Baire property and precompact duality
M. Ferrer, S. Hernández, I. Sepúlveda +1
We prove that if is a totally bounded abelian group \st\ its dual group equipped with the finite-open topology is a Baire group, then every compact subset of $G…
On closed subgroups of precompact groups
Salvador Hernández, Dieter Remus, F. Javier Trigos-Arrieta
It is a Theorem of W.~ W. Comfort and K.~ A. Ross that if is a subgroup of a compact Abelian group, and denotes those continuous homomorphisms from to the one-dimension…
When a totally bounded group topology is the Bohr Topology of a LCA group
Salvador Hernández, F. Javier Trigos-Arrieta
We look at the Bohr topology of maximally almost periodic groups (MAP, for short). Among other results, we investigate when a totally bounded abelian group is the Bohr refl…
Products of finite groups and nonmeasurable subgroups
F. Javier Trigos-Arrieta
It is proven that if is a finite group, then has dense nonmeasurable subgroups. Also, other examples of compact groups with dense nonmeasurable subgroup…
On Aumann's Theorem that the sphere does not admit a mean
F. Javier Trigos-Arrieta, Marian Turzanski
We prove that the circle S_1 does not have a 2-mean, i.e., S_1 times S_1 cannot have a retraction r onto its diagonal with r(x,y) = r(y,x), whenever x,y in S_1. Our proof is combin…
Making group topologies with, and without, convergent sequences
W. W. Comfort, S. U. Raczkowski, F. J. Trigos-Arrieta
(1) Every infinite, Abelian compact (Hausdorff) group K admits 2^|K|-many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to b…