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2-primary factorizations of power maps through the double suspension
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Stephen D. Theriault
Published/Copyright:
March 1, 2013
Abstract.
Several improvements are made to the 2-primary homotopy theory of
the double suspension. We refine Richter's factorization of the
second-power map on 
through the loops on
the double suspension, show that the 4th-power map on 
factors through the double suspension, and that the 4th-power map on 
is null homotopic,
where 
is the fiber of the double suspension. The latter
two results are improvements by one loop.
Received: 2009-10-13
Published Online: 2013-03-01
Published in Print: 2013-03-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Non-Lipschitz flow of the nonlinear Schrödinger equation on surfaces
- Gradient estimate of a Dirichlet eigenfunction on a compact manifold with boundary
- A composite map in the stable homotopy groups of spheres
- Length functions, multiplicities and algebraic entropy
- On the Eisenstein cohomology of odd orthogonal groups
- Complex Osserman Kähler manifolds in dimension four
- Mixed multiplicities of multigraded modules
- On the number of maximal chain transitive sets in fiber bundles
- 2-primary factorizations of power maps through the double suspension
- Imprecise probabilities, bets and functional analytic methods in Łukasiewicz logic
