Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The homotopy type of the space of diffeomorphisms. I


Authors: Dan Burghelea and Richard Lashof
Journal: Trans. Amer. Math. Soc. 196 (1974), 1-36
MSC: Primary 57E05; Secondary 58D05
MathSciNet review: 0356103
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A new proof is given of the unpublished results of Morlet on the relation between the homeomorphism group and the diffeomorphism group of a smooth manifold.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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57E05, 58D05

Retrieve articles in all journals with MSC: 57E05, 58D05


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1974-0356103-2
Article copyright: © Copyright 1974 American Mathematical Society