Maps to spaces in the genus of infinite quaternionic projective space
Algebraic Topology
2007-05-23 v1
Abstract
Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of infinite quaternionic projective space. An interpretation of these results in the context of Adams-Wilkerson embedding in integral -theory is also given.
Cite
@article{arxiv.math/0209030,
title = {Maps to spaces in the genus of infinite quaternionic projective space},
author = {Donald Yau},
journal= {arXiv preprint arXiv:math/0209030},
year = {2007}
}
Comments
To appear in Progress in Math. (International Conference on Algebraic Topology, Skye - Scotland, July 2001)