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arXiv · 2007.03080

Comultiplication in the Serre Spectral Sequence

David Chan
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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 $E^2$ 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.

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David Chan. 2020-07-06. Comultiplication in the Serre Spectral Sequence. https://arxiv.org/abs/2007.03080

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