32 citations · 92 across the 9 of their papers we have counts for
11 papers · 1 filter
Topological Quillen localization of structured ring spectra
John E. Harper, Yu Zhang
The aim of this short paper is two-fold: (i) to construct a TQ-localization functor on algebras over a spectral operad O, in the case where no connectivity assumptions are made on…
A nilpotent Whitehead theorem for TQ-homology of structured ring spectra
Michael Ching, John E. Harper
The aim of this short paper is to prove a TQ-Whitehead theorem for nilpotent structured ring spectra. We work in the framework of symmetric spectra and algebras over operads in mod…
Suspension spectra and higher stabilization
Jacobson R. Blomquist, John E. Harper
We prove that the stabilization of spaces functor---the classical construction of associating a spectrum to a pointed space by tensoring with the sphere spectrum---satisfies homoto…
Iterated suspension spaces and higher Freudenthal suspension
Jacobson R. Blomquist, John E. Harper
We establish a higher Freudenthal suspension theorem and prove that the derived fundamental adjunction comparing spaces with coalgebra spaces over the homotopical iterated suspensi…
Integral chains and Bousfield-Kan completion
Jacobson R. Blomquist, John E. Harper
Working in the Arone-Ching framework for homotopical descent, it follows that the Bousfield-Kan completion map with respect to integral homology is the unit of a derived adjunction…
Derived Koszul duality and TQ-homology completion of structured ring spectra
Michael Ching, John E. Harper
Working in the context of symmetric spectra, we consider any higher algebraic structures that can be described as algebras over an operad O. We prove that the fundamental adjunctio…