37 citations · 99 across the 12 of their papers we have counts for
12 papers
Homotopy nilpotent groups and their associated functors
Georg Biedermann
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…
A Generalized Blakers-Massey Theorem
Mathieu Anel, Georg Biedermann, Eric Finster +1
We prove a generalization of the classical connectivity theorem of Blakers-Massey, valid in an arbitrary higher topos and with respect to an arbitrary modality, that is, a factoriz…
The realization space of an unstable coalgebra
Georg Biedermann, Georgios Raptis, Manfred Stelzer
Unstable coalgebras over the Steenrod algebra form a natural target category for singular homology with prime field coefficients. The realization problem asks whether an unstable c…
Calculus of functors and model categories II
Georg Biedermann, Oliver Röndigs
This is a continuation, completion, and generalization of our previous joint work with B. Chorny. We supply model structures and Quillen equivalences underlying Goodwillie's constr…
Duality and small functors
Georg Biedermann, Boris Chorny
The homotopy theory of small functors is a useful tool for studying various questions in homotopy theory. In this paper, we develop the homotopy theory of small functors from spect…
Homotopy nilpotent groups
Georg Biedermann, William G. Dwyer
We study the connection between the Goodwillie tower of the identity and the lower central series of the loop group on connected spaces. We define the simplicial theory of homotopy…