1 citations · 1 across the 4 of their papers we have counts for
11 papers
Comodules and Landweber exact homology theories
Mark Hovey, Neil Strickland
We show that, if E is a Landweber exact ring spectrum, then the category of E_*E-comodules is equivalent to the localization of the category of BP_*BP-comodules with respect to the…
Local cohomology of BP_*BP-comodules
Mark Hovey, Neil Strickland
In a previous paper, the authors showed that the category of E(n)_*E(n)-comodules is a localization of the category of BP_*BP-comodules. In this paper, we study the resulting local…
Chromatic phenomena in the algebra of BP_{*}BP-comodules
Mark Hovey
This paper begins with an exposition of the author's research on the category of BP_*BP-comodules, much of which is joint with Neil Strickland. The main result of that work is that…
Homotopy theory of comodules over a Hopf algebroid
Mark Hovey
Given a good homology theory E and a topological space X, the E-homology of X is not just an E_{*}-module but also a comodule over the Hopf algebroid (E_{*}, E_{*}E). We establish…
Morita theory for Hopf algebroids and presheaves of groupoids
Mark Hovey
Comodules over Hopf algebroids are of central importance in algebraic topology. It is well-known that a Hopf algebroid is the same thing as a presheaf of groupoids on Aff, the oppo…
Spectra and symmetric spectra in general model categories
Mark Hovey
(This is an updated version; following an idea of Voevodsky, we have strengthened our results so all of them apply to one form of motivic homotopy theory). We give two general cons…