A NOTE ON THE CONTINUITY OF THE INVERSE IN PARATOPOLOGICAL GROUPS

作者：Xie, Li Hong^*; Lin, Shou

来源：Studia Scientiarum Mathematicarum Hungarica, 2014, 51(3): 326-334.

DOI：10.1556/SScMath.51.2014.3.1286

• Paratopological groups
• topological groups
• weakly Hausdorff number
• P-spaces
• co-locally countably compact paratopological groups
• 2-pseudocompact paratopological groups

The problem when a paratopolgical group (or semitopological group) is a topological group is interesting and important. In this paper, we continue to study this problem. It mainly shows that: (1) Let G be a paratopological group and put tau = omega Hs(G); then G is a topological group if G is a P-tau-space; (2) every co-locally countably compact paratopological group G with omega Hs(G) <= omega is a topological group; (3) every co-locally compact paratopological group is a topological group; (4) each 2-pseudocompact paratopological group G with omega Hs(G) <= omega is a topological group. These results improve some results in [11,13].

• 出版日期2014-9
• 单位宁德师范学院; 五邑大学