The homotopy type of the space of diffeomorphisms. I
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- by Dan Burghelea and Richard Lashof
- Trans. Amer. Math. Soc. 196 (1974), 1-36
- DOI: https://doi.org/10.1090/S0002-9947-1974-0356103-2
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Abstract:
A new proof is given of the unpublished results of Morlet on the relation between the homeomorphism group and the diffeomorphism group of a smooth manifold. In particular, the result ${\operatorname {Diff}}({D^n},\partial ) \simeq {\Omega ^{n + 1}}({\text {Top}_n}/{O_n})$ is obtained. The main technique is fibrewise smoothing.References
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Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 196 (1974), 1-36
- MSC: Primary 57E05; Secondary 58D05
- DOI: https://doi.org/10.1090/S0002-9947-1974-0356103-2
- MathSciNet review: 0356103