Proper base change for separated locally proper maps

Autor:	Olaf M. Schnürer, Wolfgang Soergel
Rok vydání:	2014
Předmět:	Six operations Pure mathematics Verdier duality Topological space 01 natural sciences Base change Mathematics - Algebraic Geometry 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Locally compact space 0101 mathematics Algebraic Geometry (math.AG) Mathematical Physics Mathematics - General Topology Mathematics Algebra and Number Theory 010102 general mathematics Hausdorff space General Topology (math.GN) Proper map Sheaf 010307 mathematical physics Geometry and Topology Analysis
DOI:	10.48550/arxiv.1404.7630
Popis:	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. Comment: 24 pages, minor typos corrected
Databáze:	OpenAIRE
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