On categorical approach to Verdier duality
Alexey Kalugin
TL;DR
This paper develops a categorical framework for Verdier duality applied to diagrams of topoi and uses it to construct the formalism of Grothendieck's six operations.
Contribution
It introduces a new categorical formalism for Verdier duality and applies it to build the Grothendieck six operations framework.
Findings
Categorical formalism for Verdier duality established.
Grothendieck six operations formalism constructed.
Framework applicable to diagrams of topoi.
Abstract
In present paper we develop categorical formalism of Verdier duality for diagrams of topoi. We use this approach to construct Grothendieck six operations formalism.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Advanced Topology and Set Theory