2024/09/06 by Ian Biringer, Yassin Chandran, Biringer, Ian +11
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2409.03967
openalex publication_date 2024/09/06 · openalex created_date 2024/10/23 · openalex updated_date 2026/07/28
We study the homeomorphism types of certain covers of (always orientable) surfaces, usually of infinite-type. We show that every surface with non-abelian fundamental group is covered by every noncompact surface, we identify the universal abelian covers and the ℤ/nℤ-homology covers of surfaces, and we show that non-locally finite characteristic covers of surfaces have four possible homeomorphism types.