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Quotients of Nash Manifolds by Equivalence Relations

Algebraic Geometry 2023-04-06 v1

Abstract

We prove that a quotient of a Nash manifold XX by a closed equivalence relation RX×XR\subset X\times X, which is submersive over XX, yields a Nash manifold X/RX/R.

Keywords

Cite

@article{arxiv.2304.02287,
  title  = {Quotients of Nash Manifolds by Equivalence Relations},
  author = {Avraham Aizenbud and Shachar Carmeli and Dmitry Gourevitch and Lev Radzivilovski},
  journal= {arXiv preprint arXiv:2304.02287},
  year   = {2023}
}

Comments

18 pages, comments are welcome