Comultiplication in the Serre spectral sequence

Comultiplication in the Serre spectral sequence

David Chan – GJM, Volume 8, Issue 2 (2023), 23-45.

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.

Categories: Issue2


Received: February 28, 2023
Accepted: June 16, 2023
Revised: October 31, 2023


David Chan
Department of Mathematics,
Michigan State University, East Lansing, MI 48824, USA.