Graded topological spaces
Algebraic Geometry
2020-07-20 v2 General Topology
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.
Cite
@article{arxiv.1903.00071,
title = {Graded topological spaces},
author = {Clemens Koppensteiner},
journal= {arXiv preprint arXiv:1903.00071},
year = {2020}
}