Graded topological spaces

Koppensteiner, Clemens

doi:10.1090/proc/14867

Graded topological spaces
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Proc. Amer. Math. Soc. 148 (2020), 1325-1338 Request permission

Abstract:

We introduce the notion of a “graded topological space”: a topological space endowed with a sheaf of abelian groups which we think of as a sheaf of gradings. Any object living on a graded topological space will be graded by this sheaf of abelian groups. We work out the fundamentals of sheaf theory and Poincaré–Verdier duality for such spaces.

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