c-compactness in locally compact groups and paratopological groups

被引：0
作者：
H. Juárez-Anguiano
I. Sánchez
机构：
[1] Universidad Autónoma Metropolitana,Departamento de Matemáticas
来源：
Acta Mathematica Hungarica | 2017年 / 152卷
关键词：
-compactnesss; compactness; locally compact group; -group; psaratopological group; -complete paratopological group; 18A32; 22A05; 22C05; 54B10; 54B30; 54C10; 54D30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study c-compactness in two cases. First, we obtain some subclasses of locally compact groups where compactness and c-compactness coincide, and besides, a result due to Dikranjan and Uspenskij is generalized. We introduce c-compactness and h-completeness in the wider class of Hausforff paratopological groups. It is proved that the closure of any subgroup of a c-compact paratopological group is again a subgroup. We present an example of a non-compact h-complete paratopological group.
引用
收藏
页码：314 / 325
页数：11
相关论文
共 51 条
[1]  
Arhangel’skii A. V.(2005)Paratopological and semitopological groups versus topological groups Topol. Appl. 151 107-119
[2]  
Reznichenko E.(1986)A note on compact subgroups of topological groups Bull. Austral. Math. Soc. 33 273-278
[3]  
Bagley R.W.(1990)Compact objects, surjectivity of epimorphisms and compactifications Cahiers Topologie Géom. Difféerentielle Catég. 31 53-65
[4]  
Peyrovian M.R.(1992)Regular closure operators and compactness Cahiers Topologie Géom. Différentielle Catég. 33 21-31
[5]  
Castellini G.(1996)Tychonoff’s theorem in a category Proc. Amer. Math. Soc. 124 3311-3314
[6]  
Castellini G.(1996)Topology in a category: compactess Portugal. Math. 53 397-433
[7]  
Clementino M.(1991)Factorizations, injectivity and compactness in categories of modules Comm. Algebra 19 45-83
[8]  
Tholen W.(1995)On characterization of linear compactness Riv. Mat. Pura Appl. 17 95-106
[9]  
Clementino M.M.(1998)Categorically compact topological groups J. Pure Appl. Algebra 126 149-168
[10]  
Giuli E.(1957)A note on the continuity of the inverse Proc. Amer. Math. Soc. 8 372-373
123456