Comultiplication in the Serre Spectral Sequence
Algebraic Topology
2020-07-08 v1
Abstract
We show the homological Serre spectral sequence with coefficients in a field is a spectral sequence of coalgebras. We also identify the comultiplication on the page of the spectral sequence as being induced by the usual comultiplication in homology. At the end, we provide some example computations highlighting the use the co-Leibniz rule.
Keywords
Cite
@article{arxiv.2007.03080,
title = {Comultiplication in the Serre Spectral Sequence},
author = {David Chan},
journal= {arXiv preprint arXiv:2007.03080},
year = {2020}
}