Loop spaces of finite complexes at large primes
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- by C. A. McGibbon and C. W. Wilkerson PDF
- Proc. Amer. Math. Soc. 96 (1986), 698-702 Request permission
Abstract:
Let $X$ be a finite, simply connected CW complex with only a finite number of nonzero rational homotopy groups. Localized away from a certain finite set of primes, the loop space of $X$ is shown to be homotopy equivalent to a product of spheres and loop spaces of spheres. Applications to the homotopy groups of $X$ and the homological properties of $\Omega X$ are given.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 698-702
- MSC: Primary 55Q52; Secondary 55P35
- DOI: https://doi.org/10.1090/S0002-9939-1986-0826505-X
- MathSciNet review: 826505