最近几年，关于仿拓扑群和半拓扑群性质的研究在一般拓扑学中是一个非常活跃的领域。对于这类赋有代数结构的拓扑空间，其邻域良好的齐性性质，较一般拓扑空间具有更优的结构和性质。李丕余、谢利红、牟磊、薛昌涛编写的《仿拓扑群和半拓扑群的若干专题(英文版)》重点针对仿拓扑群和半拓扑群的广义度量性质和基数不变性以及仿拓扑群的R-因子可分解性进行研究。

1 Introduction

2 Generalized metrizable properties and cardinal invariants in paratopological and semitopological groups

 2.1 First-countable paratopological groups and quasitopological groups

2.1.1 First-countable paratopological groups

2.1.2 First-countable quasitopological groups

 2.2 Submetrizability of paratopological and semitopological groups

2.2.1 Submetrizability of paratopological groups

2.2.2 Submetrizability of semitopological groups

 2.3 Mappings between paratopological groups

 2.4 Cardinal invariants

 2.5 Open problems

3 Remainders of paratopological and semitopological groups

 3.1 Dichotomy theorems

 3.2 Remainders for topological groups

 3.3 Remainders for paratopological groups

3.3.1 Remainders being Lindel6f spaces

3.3.2 Remainders with a G~-diagonal

 3.4 The remainders of semitopological groups

 3.5 Open problems

4 factorizable topological groups

 4.1 w-uniform continuity in uniform spaces

  4.2 w-uniform continuity in topological groups

  4.3 Characterization of R-factorizable topological groups

 4.4 Characterization of rn-factorizable groups

5 Factorization properties of paratopological groups

 5.1 Notation and preliminary facts

 5.2 Characterizing ]R-factorizable paratopological groups

 5.3 lR-factorizability in totally LE-groups

 5.4 Open problems

 Bibliography