Rosay-Rudin-Spaces, Tame Sets and Danielewski Surfaces

2023/09/14 by Winkelmann, Jörg
Mathematics · #32M10 (primary) #32M25 #32Q28 (Secondary) #32Q56 #Advanced Topology and Set Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2309.07678

openalex publication_date 2023/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of an ``RR-space''. (RR stands for Rosay and Rudin.) These spaces essentially share the properties of tame subsets known for \bf Cⁿ. The class of RR-spaces contains character-free complex linear algebraic groups as well as Danielewski surfaces.

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