1974•Transactions of the American Mathematical SocietyRequires access
The Homotopy Type of the Space of Diffeomorphisms. II
Dan Burghelea, Richard Lashof
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Abstract
The result (proved in Part I) that ${\operatorname {Diff}}({D^n},\partial ) \simeq {\Omega ^{n + 1}}({\text {PL}_n}/{O_n})$ is used to compute some new homotopy of ${\operatorname {Diff}}({D^n},\partial {D^n})$. The relation between smooth and PL pseudo-isotopy is explored. Known and new results on the homotopy of ${\text {PL}_n}$ are summarized.