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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Compact $ 3$-manifolds with infinitely-generated groups of self-homotopy-equivalences


Author: Darryl McCullough
Journal: Proc. Amer. Math. Soc. 91 (1984), 625-629
MSC: Primary 55P10; Secondary 57M99
MathSciNet review: 746102
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Abstract: Examples are constructed of compact $ 3$-manifolds with boundary whose groups of self-homotopy-equivalences are not finitely-generated.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0746102-2
PII: S 0002-9939(1984)0746102-2
Keywords: Homotopy equivalence, self-homotopy-equivalence, $ 3$-manifold, $ 2$-complex, automorphism group, group ring
Article copyright: © Copyright 1984 American Mathematical Society