Generalized cohomology of pro-spectra
Algebraic Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0408179,
title = {Generalized cohomology of pro-spectra},
author = {Daniel C. Isaksen},
journal= {arXiv preprint arXiv:math/0408179},
year = {2007}
}