On Co-H-maps to the Suspension of the Projective Plane
Algebraic Topology
2009-09-25 v1
Abstract
We study co-H-maps from a suspension to the suspension of the projective plane and provide examples of non-suspension 3-cell co-H-spaces. These (infinitely many) examples are related to the homotopy groups of the 3-sphere. For each element of order 2 in , there is a corresponding non-suspension co-H-space of cells in dimensions 2, 3 and n+2. Our ideas are to study Hopf invariants in combinatorial way by using the Cohen groups.
Keywords
Cite
@article{arxiv.math/0112220,
title = {On Co-H-maps to the Suspension of the Projective Plane},
author = {J. Wu},
journal= {arXiv preprint arXiv:math/0112220},
year = {2009}
}