English

An extension of Furstenberg's structure theorem for Noetherian modules and multiple recurrence theorems I

Dynamical Systems 2016-05-30 v1 Group Theory

Abstract

We extend Furstenberg's structure theorem to any standard Borel GG-space, where GG is any locally compact second countable Noetherian module over a syndetic ring.

Keywords

Cite

@article{arxiv.1605.08592,
  title  = {An extension of Furstenberg's structure theorem for Noetherian modules and multiple recurrence theorems I},
  author = {Xiongping Dai},
  journal= {arXiv preprint arXiv:1605.08592},
  year   = {2016}
}

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25 pages