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Transactions of the American Mathematical Society

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

 

 

A note on local change of diffeomorphism


Author: Mikiya Masuda
Journal: Trans. Amer. Math. Soc. 316 (1989), 555-566
MSC: Primary 57R50
DOI: https://doi.org/10.1090/S0002-9947-1989-0979960-6
MathSciNet review: 979960
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Abstract: Let $ D(M)$ be the group of pseudo-isotopy classes of orientation preserving diffeomorphisms of a compact manifold $ M$ which restrict to the identity on $ \partial M$. If a compact manifold $ N$ of the same dimension as $ M$ is embedded in $ M$, then extending maps in $ D(N)$ as the identity on the exterior of $ N$ defines a homomorphism $ E:D(N) \to D(M)$. We ask if the kernel of $ E$ is finite and show that this is the case for special cases.


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DOI: https://doi.org/10.1090/S0002-9947-1989-0979960-6
Article copyright: © Copyright 1989 American Mathematical Society