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Stream: theory: algebraic topology

Topic: nonabelian spectral sequence


view this post on Zulip Patrick Nicodemus (Nov 24 2021 at 18:23):

Is there any kind of notion of a nonabelian spectral sequence for analyzing simplicial objects in an arbitrary category? like is there a spectral sequence associated to a bisimplicial set which would help us compute the homotopy groups of its associated 'total complex' or a spectral sequence associated to a filtered chain complex of not-necessarily Abelian groups?

view this post on Zulip Reid Barton (Nov 24 2021 at 20:14):

There's the [[Bousfield-Kan spectral sequence]]