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Transactions of the American Mathematical Society

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

 

 

On the inertia group of a product of spheres


Author: Reinhard Schultz
Journal: Trans. Amer. Math. Soc. 156 (1971), 137-153
MSC: Primary 57.10
MathSciNet review: 0275453
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Abstract: In this paper it is proved that the smooth connected sum of a product of ordinary spheres with an exotic combinatorial sphere is never diffeomorphic to the original product. This result is extended and compared to certain related examples.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0275453-9
Keywords: Inertia group, homotopy sphere, fiber homotopy equivalence, self-equivalence group, automorphisms of homology, surgery, smoothings of PL manifolds, homotopy smoothings, normal invariants, homotopy composition
Article copyright: © Copyright 1971 American Mathematical Society