arXiv Analytics

Sign in

arXiv:1810.06505 [math.AT]AbstractReferencesReviewsResources

An Axiomatic Characterization of Steenrod's cup-$i$ Products

A. M. Medina-Mardones

Published 2018-10-15Version 1

We present axioms that determine the cup-$i$ products introduced explicitly by Steenrod up to isomorphism, and not just homotopy. As is well known, these products generalize the Alexander-Whitney cup product on cochains and induce the Steenrod squares in cohomology.

Related articles: Most relevant | Search more
arXiv:2105.08025 [math.AT] (Published 2021-05-17, updated 2022-01-31)
New formulas for cup-$i$ products and fast computation of Steenrod squares
arXiv:math/0411043 [math.AT] (Published 2004-11-02, updated 2006-10-16)
Differential characters and the Steenrod squares
arXiv:math/0701077 [math.AT] (Published 2007-01-03)
Axiomatic Characterization of Ordinary Differential Cohomology