English

An example of a non non-archimedean Polish group with ample generics

Group Theory 2015-03-16 v1 Logic

Abstract

For an analytic PP-ideal II, SIS_I is the Polish group of all the permutations of N\mathbb{N} whose support is in II, with Polish topology given by the corresponding submeasure on II. We show that if \mboxFinI\mbox{Fin} \subsetneq I, then SIS_I has ample generics. This implies that there exists a non non-archimedean Polish group with ample generics.

Keywords

Cite

@article{arxiv.1503.03919,
  title  = {An example of a non non-archimedean Polish group with ample generics},
  author = {Maciej Malicki},
  journal= {arXiv preprint arXiv:1503.03919},
  year   = {2015}
}