Zobrazeno 1 - 10
of 519
pro vyhledávání: '"Arrieta,F."'
We prove that if $G$ is a totally bounded abelian group \st\ its dual group $\widehat{G}_p$ equipped with the finite-open topology is a Baire group, then every compact subset of $G$ must be finite. This solves an open question by Chasco, Dom\'inguez
Externí odkaz:
http://arxiv.org/abs/2405.02624
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 topology given by $S
Externí odkaz:
http://arxiv.org/abs/2203.00334
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 $(G,w)$ is the Bohr reflection of a locally compact abelian group. Necessary and sufficient co
Externí odkaz:
http://arxiv.org/abs/1710.06478
Autor:
Trigos-Arrieta, F. Javier
It is proven that if $G$ is a finite group, then $G^\omega$ has $2^{\mathfrak c}$ dense nonmeasurable subgroups. Also, other examples of compact groups with dense nonmeasurable subgroups are presented.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/1407.0758
Publikováno v:
In Topology and its Applications 1 June 2019 259:110-123
Publikováno v:
In Topology and its Applications 1 June 2019 259:28-39
Publikováno v:
Acta Univ. Carolin. Math. Phys. 46 (2005), no. 2, 77--82
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 combinatorial and topological rather than analytical.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/math/0501305
Publikováno v:
Appl. Gen. Topol. 7 (2006), no. 1, 109--124
(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 be pseudocompact. (2) Every infinite Abelian group G admits a family A
Externí odkaz:
http://arxiv.org/abs/math/0402443
Publikováno v:
Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 23--35, Topology Atlas, Toronto, 2002
Throughout this Abstract, $G$ is a topological Abelian group and $\hat{G}$ is the space of continuous homomorphisms from $G$ into $T$ in the compact-open topology. A dense subgroup $D$ of $G$ determines $G$ if the (necessarily continuous) surjective
Externí odkaz:
http://arxiv.org/abs/math/0204147
Autor:
Rodríguez-Jiménez C, Sanguino J, Sevilla-Alonso E, Arrieta F, García-Polo I, Mostaza JM, Rodríguez-Nóvoa S
Publikováno v:
Journal of Cardiovascular Medicine and Cardiology. 9:030-036
Lipid metabolism can experience different disorders resulting in changes in the function and concentrations of plasma lipoproteins. These changes affect alone or interact with other cardiovascular risk factors involved in the development of atheroscl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::89f07e7b2c57d9f672668ae7fc5d25d4
https://doi.org/10.17352/2455-2976.000185
https://doi.org/10.17352/2455-2976.000185