p-Boundedness in paratopological groups
Metadades
Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONAquest recurs és restringit
http://dx.doi.org/10.1016/j.topol.2015.08.010 |
Metadades
Títol
p-Boundedness in paratopological groupsData de publicació
2015-10Editor
ElsevierCita bibliogràfica
Sánchez, I., & Sanchis, M. (2015). p-Boundedness in paratopological groups. Topology and its Applications, 194, 306-316.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0166864115003491Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
We show that bounded subsets of ω-admissible paratopological groups are p -bounded for all p∈ω⁎p∈ω⁎. In other words, they have a similar behavior to bounded subsets of topological groups. We present several new classes ... [+]
We show that bounded subsets of ω-admissible paratopological groups are p -bounded for all p∈ω⁎p∈ω⁎. In other words, they have a similar behavior to bounded subsets of topological groups. We present several new classes of ω-admissible paratopological groups. In particular, Hausdorff ω-balanced paratopological groups with countable Hausdorff number belong to this class. Also, we prove that if G is an ω-admissible paratopological group then so is every subgroup of G and its semiregularization. We analyze, by means of the case of locally feebly compact paratopological groups, how the fact that the semiregularization of a paratopological group G is a topological group influences the properties of the bounded subsets of G. Some properties of C-compact subsets of ω-admissible (respectively, locally feebly compact) Hausdorff paratopological groups are studied and some clarifying examples are presented. [-]
Publicat a
Topology and its Applications Volume 194, October 2015Drets d'accés
Copyright © 2015 Elsevier B.V. All rights reserved.
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
Apareix a les col.leccions
- MAT_Articles [745]