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arXiv · 1705.04963

Homotopy nilpotent groups and their associated functors

Georg Biedermann
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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.

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Georg Biedermann. 2017-05-14. Homotopy nilpotent groups and their associated functors. https://arxiv.org/abs/1705.04963

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