On the Postnikov towers for real and complex connective K-theory
Algebraic Topology
2012-08-13 v1
Abstract
Complexification, from real connective K-theory to complex connective K-theory, sits in a well-known cofiber sequence between multiplication by eta and a map related to realification. We show how this cofiber sequence factors as one goes up the Postnikov towers of ko and ku. There are 5 distinct cofiber sequences which then repeat under Bott periodicity.
Cite
@article{arxiv.1208.2232,
title = {On the Postnikov towers for real and complex connective K-theory},
author = {Robert R. Bruner},
journal= {arXiv preprint arXiv:1208.2232},
year = {2012}
}