English

Some classes of minimally almost periodic topological groups

General Topology 2014-10-14 v1

Abstract

Classes SSGP(n)(n < \omega) of topological groups are defined, and the class-theoretic inclusions SSGP(n) \subseteq SSGP(n+1) \subseteq m.a.p. are established and shown proper. These classes are investigated with respect to the properties normally studied by topologists (products, quotients, passage to dense subgroups, and the like). In passing the authors establish the presence of the SSGP(1) or SSGP(2) property in many of the early examples in the literature of abelian m.a.p. groups.

Keywords

Cite

@article{arxiv.1410.2996,
  title  = {Some classes of minimally almost periodic topological groups},
  author = {W. W. Comfort and Franklin R. Gould},
  journal= {arXiv preprint arXiv:1410.2996},
  year   = {2014}
}