A Hurewitz theorem for bigraded homotopy and homology
by
Alexander Nofech
University of Totonto

Let p be a prime greater than 3 and r a positive integer. We show that the cofiber of the map pr : \SigmaX --> \SigmaX has a bound on torsion which is p(r+1). The proof uses bigraded homotopy groups defined for bisimplicial groups and bisimplicial sets and the existence of a homotopy resolution of a connected space, in which every term is a wedge of spheres. The essential part of the proof is a Hurewitz theorem connecting bigraded homotopy and homology.

Date received: July 30, 1997

Copyright © 1997 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caap-13.