Diffeomorphisms homotopic to the identity

Turner, Edward C.

doi:10.1090/S0002-9947-1973-0336759-X

Diffeomorphisms homotopic to the identity
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Trans. Amer. Math. Soc. 186 (1973), 489-498 Request permission

Abstract:

In this paper, an inductive procedure for describing the group of isotopy classes of null homotopic diffeomorphisms of a manifold is developed —this process depends on the handlebody structure of the manifold. This group is also shown to be finitely generated and in many cases abelian.

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Triangulating homotopy equivalences

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