On Co-H-maps to the Suspension of the Projective Plane

Details On Co-H-maps to the Suspension of the Projective Plane On Co-H-maps to the Suspension of the Projective Plane

2001-12-20

arxiv.org/abs/math/0112220v1

Topology and its Applications, 123(2002), 547-571.

Mathematics

Algebraic Topology

Scientific paper

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 $\pi_n(S^3)$, 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.

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