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$\pi_1$-injective proper maps between non-compact surfaces

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arxiv 2405.09824 v2 pith:7TUU4QYM submitted 2024-05-16 math.GT math.AT

Sumanta Das This is my paper · ORCID
classification math.GTmath.AT
keywords properinjectivemapsnon-compactsurfacesclassifyhomotopy
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abstract

We classify all $\pi_1$-injective proper maps between non-compact surfaces up to proper homotopy.

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  1. Geometric Kernels of Proper Maps Between Non-Compact Surfaces

    math.GT 2025-08 conditional novelty 6.0 of 10

    A degree-one proper map between non-compact surfaces has a geometric kernel or is properly homotopic to a homeomorphism, if it is injective on Brown's proper fundamental group at every end; a new cπ1 invariant yields ...

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