Open embeddings and pseudoflat epimorphisms

2019/08/06 by Aristov, Oleg, Pirkovskii, A. Yu. · 1 citation
#16E30 #32A38 #46E25 #46H25 #46M18 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1908.02117

Abstract

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

Cited by

• Homological dimensions of algebras of analytic functionals and their completions

Related

• Special Open Sets in Manifold Calculus
• Obstructing pseudoconvex embeddings and contractible Stein fillings for Brieskorn spheres
• Stein fillings of planar open books
• Stein spaces and Stein algebras
• A note on closed isometric embeddings