Homotopy nilpotent groups and their associated functors

Georg Biedermann

Homotopy nilpotent groups and their associated functors

Algebraic Topology 2017-05-16 v1

Authors: Georg Biedermann

Abstract

To every homotopy n-nilpotent group, defined in earlier work by Dwyer and the author, we associate an endofunctor of pointed spaces and prove that it is looped and n-excisive. As a tool we prove that $\Omega P_n({\rm id})$ commutes with sifted colimits of connected spaces.

Keywords

homotopy groups nilpotent groups homotopy theory

Cite

@article{arxiv.1705.04963,
  title  = {Homotopy nilpotent groups and their associated functors},
  author = {Georg Biedermann},
  journal= {arXiv preprint arXiv:1705.04963},
  year   = {2017}
}

Comments

The author was asked to post this note for reference. We expect to expand on it in the near future. 7 pages

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