I was reading about crossed complexes following R.Brown. I was wondering how one define G-crossed complexes for a topological group G? Is it just dimension wise action of the group?
2026-05-15 07:37:04.1778830624
Definition of G-crossed complex.
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There are papers on equivariant crossed complexes, see [93,114] on my publication list, where the second deals with the topological group case.
A second possibly related question is to deal with Galois cohomology, using crossed complex methods. There are papers of M.V.Borovoi on nonabelian Galois cohomology with coefficients in a crossed module.