English

Open embeddings and pseudoflat epimorphisms

Functional Analysis 2021-03-23 v3 Complex Variables Rings and Algebras

Abstract

We characterize open embeddings of Stein spaces and of CC^\infty-manifolds in terms of certain flatness-type conditions on the respective homomorphisms of function algebras.

Keywords

Cite

@article{arxiv.1908.02117,
  title  = {Open embeddings and pseudoflat epimorphisms},
  author = {Oleg Aristov and A. Yu. Pirkovskii},
  journal= {arXiv preprint arXiv:1908.02117},
  year   = {2021}
}

Comments

21 pages. v3: a mistake in Theorem 3.24 is corrected

R2 v1 2026-06-23T10:40:54.266Z