Cobordism and the nonfinite homotopy type of some diffeomorphism groups
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- by Daniel S. Chess
- Proc. Amer. Math. Soc. 89 (1983), 743-745
- DOI: https://doi.org/10.1090/S0002-9939-1983-0719009-3
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Abstract:
Unoriented cobordism, a geometric construction, and a theorem of Browder on finite $H$-spaces are used to give new examples of manifolds whose diffeomorphism groups have identity component of nonfinite homotopy type.References
- P. L. Antonelli, D. Burghelea, and P. J. Kahn, The non-finite homotopy type of some diffeomorphism groups, Topology 11 (1972), 1–49. MR 292106, DOI 10.1016/0040-9383(72)90021-3
- William Browder, Torsion in $H$-spaces, Ann. of Math. (2) 74 (1961), 24–51. MR 124891, DOI 10.2307/1970305
- P. E. Conner and E. E. Floyd, Fibring within a cobordism class, Michigan Math. J. 12 (1965), 33–47. MR 179796
- C. T. C. Wall, Determination of the cobordism ring, Ann. of Math. (2) 72 (1960), 292–311. MR 120654, DOI 10.2307/1970136
Bibliographic Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 743-745
- MSC: Primary 57R50; Secondary 57R75
- DOI: https://doi.org/10.1090/S0002-9939-1983-0719009-3
- MathSciNet review: 719009