English

Estimation of recurrence for nilpotent group action

General Topology 2019-12-23 v1 Dynamical Systems

Abstract

We estimate size of recurrence of an action of a nilpotent group by homeomorphisms of a compact space for polynomial mappings into a nilpotent group form the partial semigroup (Pf(N),)(\mathcal{P}_{f}(\mathbb{N}),\uplus). To do this we have used algebraic structure of the Stone-\v{C}ech copactification partial semigroup and that of the given nilpotent group.

Keywords

Cite

@article{arxiv.1810.05097,
  title  = {Estimation of recurrence for nilpotent group action},
  author = {Aninda Chakraborty and Dibyendu De and Sayan Goswami},
  journal= {arXiv preprint arXiv:1810.05097},
  year   = {2019}
}
R2 v1 2026-06-23T04:36:33.929Z