English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Preprint

Higher spectral sequences

MPS-Authors
/persons/resource/persons235778

Matschke,  Benjamin
Max Planck Institute for Mathematics, Max Planck Society;

External Resource
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2107.02130.pdf
(Preprint), 793KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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


Cite as: https://hdl.handle.net/21.11116/0000-000F-6292-D
Abstract
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.