English

Coverings by open cells

Logic 2015-07-17 v3

Abstract

We prove that in a semi-bounded o-minimal expansion of an ordered group every non-empty open definable set is a finite union of open cells.

Keywords

Cite

@article{arxiv.1303.3155,
  title  = {Coverings by open cells},
  author = {Mário J. Edmundo and Pantelis Eleftheriou and Luca Prelli},
  journal= {arXiv preprint arXiv:1303.3155},
  year   = {2015}
}

Comments

17 pages, revised version

R2 v1 2026-06-21T23:41:24.578Z