Some examples of nonfinite diffeomorphism groups
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- by Terry C. Lawson PDF
- Proc. Amer. Math. Soc. 34 (1972), 570-572 Request permission
Abstract:
An example due to Guy Hirsch is modified to give examples of manifolds N such that Diff N is not dominated by a finite complex.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
- Guy Hirsch, Sur les groupes d’homologie des espaces fibrés, Bull. Soc. Math. Belgique 6 (1953), 79–96 (1954) (French). MR 70174
- Jerome Levine, Self-equivalences of $S^{n}\times S^{k}$, Trans. Amer. Math. Soc. 143 (1969), 523–543. MR 248848, DOI 10.1090/S0002-9947-1969-0248848-8
- Jean-Pierre Serre, Groupes d’homotopie et classes de groupes abéliens, Ann. of Math. (2) 58 (1953), 258–294 (French). MR 59548, DOI 10.2307/1969789
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 570-572
- MSC: Primary 58D05
- DOI: https://doi.org/10.1090/S0002-9939-1972-0298697-5
- MathSciNet review: 0298697