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Cobordism and the nonfinite homotopy type of some diffeomorphism groups


Author: Daniel S. Chess
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
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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 [Enhancements On Off] (What's this?)

  • [1] P. L. Antonelli, D. Burghelea and P. J. Kahn, The nonfinite homotopy type of some diffeomorphism groups, Topology 11 (1972), 1-44. MR 0292106 (45:1193)
  • [2] W. Browder, Torsion in $ H$-spaces, Ann. of Math. (2) 74 (1961), 27-51. MR 0124891 (23:A2201)
  • [3] P. F. Conner and E. R. Floyd, Fibring within a cobordism class, Michigan Math. J. 12 (1965), 33-47. MR 0179796 (31:4038)
  • [4] C. T. C. Wall, Determination of the corbodism ring, Ann. of Math. (2) 72 (1960), 292-311. MR 0120654 (22:11403)

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DOI: https://doi.org/10.1090/S0002-9939-1983-0719009-3
Article copyright: © Copyright 1983 American Mathematical Society

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