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Preprint

Higher spectral sequences

MPG-Autoren
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Matschke,  Benjamin
Max Planck Institute for Mathematics, Max Planck Society;

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2107.02130.pdf
(Preprint), 793KB

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Zitation

Matschke, B. (submitted). Higher spectral sequences.


Zitierlink: https://hdl.handle.net/21.11116/0000-000F-6292-D
Zusammenfassung
In this article we construct what we call a higher spectral sequence for any chain complex (or topological space) that is filtered in n compatible ways. For this we extend the previous spectral system construction of the author, and we show that it admits considerably more differentials than what was previously known. As a result, this endows the successive Leray--Serre, Grothendieck, chromatic--Adams--Novikov, and Eilenberg--Moore spectral sequences of the author with the structure of a higher spectral sequence. Another application is a universal coefficient theorem analog for spectral sequences.