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arXiv · 1903.00071

Graded topological spaces

Clemens Koppensteiner
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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 Poincar\'e-Verdier duality for such spaces.

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Clemens Koppensteiner. 2019-02-28. Graded topological spaces. https://doi.org/10.1090/proc%2F14867

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