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- Title
TORSION IN FINITE H-SPACES AND THE HOMOTOPY OF THE THREE-SPHERE.
- Authors
BEBEN, PIOTR; THERIAULT, STEPHEN
- Abstract
Let X be a 2-connected p-local finite H-space with a single cell in dimension three. We give a simple cohomological criterion which distinguishes when the inclusion S³ ... X has the property that the loop of its three-connected cover is null homotopic. In particular, such a null homotopy implies that πm(i) = 0 for m > 4. Applications are made to Harper's rank 2 finite H-space and simple, simply-connected, compact Lie groups.
- Subjects
H-spaces; HOMOTOPY theory; LIE algebras; LIE groups; COHOMOLOGY theory; TOPOLOGICAL spaces
- Publication
Homology, Homotopy & Applications, 2010, Vol 12, Issue 2, p25
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2010.v12.n2.a2