Skip to main content

Homotopy theory of spectral sequences

Posted in
Speaker: 
Sarah Whitehouse
Zugehörigkeit: 
University of Sheffield
Datum: 
Mit, 19/10/2022 - 13:45 - 14:45
Location: 
MPIM Lecture Hall

We consider the homotopy theory of the category of spectral sequences with the class of weak equivalences given by those morphisms inducing a quasi-isomorphism at a certain fixed page. We show that this admits a structure close to that of a category of fibrant objects in the sense of Brown and in particular the structure of a partial Brown category with fibrant objects. We use this to compare with related structures on the categories of multicomplexes and filtered complexes.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A