Title: Generalized cohomology of pro-spectra

Author: Daniel C. Isaksen

E-mail: isaksen@math.wayne.edu

AMS classification: 55T25, 55P42, 55U35, 55N20, 18G55 (Primary), 
  19L99 (Secondary)

Abstract:

We present a closed model structure for the category of pro-spectra
in which the weak equivalences are detected by stable homotopy pro-groups.
With some bounded-below assumptions, weak equivalences are also detected
by cohomology as in the classical Whitehead theorem for spectra.
We establish an Atiyah-Hirzebruch spectral sequence in this context,
which makes possible the computation of topological K-theory 
(and other generalized cohomology theories) of pro-spectra.