Graded topological spaces
Author:
Clemens Koppensteiner
Journal:
Proc. Amer. Math. Soc. 148 (2020), 1325-1338
MSC (2010):
Primary 54B40, 18F20; Secondary 55M05
DOI:
https://doi.org/10.1090/proc/14867
Published electronically:
December 6, 2019
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Abstract | References | Similar Articles | Additional Information
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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Additional Information
Clemens Koppensteiner
Affiliation:
Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey 08540
Address at time of publication:
Mathematical Institute, University of Oxford, Andrew Wiles Building, Oxford, OX2 6GG, United Kingdom
Email:
clemens.koppensteiner@maths.ox.ac.uk
DOI:
https://doi.org/10.1090/proc/14867
Received by editor(s):
July 1, 2019
Published electronically:
December 6, 2019
Additional Notes:
The author was supported by the National Science Foundation under Grant No. DMS-1638352.
Communicated by:
Alexander Braverman
Article copyright:
© Copyright 2019
American Mathematical Society