English

Classification of semi-algebraic $p$-adic sets up to semi-algebraic bijection

Logic 2007-05-23 v1

Abstract

We prove that two infinite p-adic semi-algebraic sets are isomorphic (i.e. there exists a semi-algebraic bijection between them) if and only if they have the same dimension.

Keywords

Cite

@article{arxiv.math/0311434,
  title  = {Classification of semi-algebraic $p$-adic sets up to semi-algebraic bijection},
  author = {Raf Cluckers},
  journal= {arXiv preprint arXiv:math/0311434},
  year   = {2007}
}

Comments

9 pages