• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Article

A simplicial James–Hopf map and decompositions of the unstable Adams spectral sequence for suspensions

Algebraic and Geometric Topology. 2019. Vol. 19. No. 1. P. 77-108.

We use combinatorial group theory methods to extend the definition of the classical James–Hopf invariant to a simplicial group setting. This allows us to realize certain coalgebra idempotents at an sSet∗ level and obtain a functorial decomposition of the spectral sequence, associated with the lower p–central series filtration on a free simplicial group.