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Proper base change for separated locally proper maps

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arxiv 1404.7630 v2 pith:7IXCYQJ5 submitted 2014-04-30 math.AT math.AGmath.GN

Olaf M. Schnürer , Wolfgang Soergel This is my paper · ORCID
classification math.ATmath.AGmath.GN
keywords properlocallymapsspacesbasechangeseparatedtopological
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We introduce and study the notion of a locally proper map between topological spaces. We show that fundamental constructions of sheaf theory, more precisely proper base change, projection formula, and Verdier duality, can be extended from continuous maps between locally compact Hausdorff spaces to separated locally proper maps between arbitrary topological spaces.

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Cited by 1 Pith paper

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  1. Extending conceptual completeness via virtual ultracategories

    math.CT 2025-06 reject novelty 7.0 of 10

    It defines virtual ultracategories and claims every Grothendieck topos with enough points is equivalent to the category of ultrasheaves on the virtual ultracategory of its points.

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