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Topologically rigid non-Haken 3-manifolds

Part of: Topological manifolds

Published online by Cambridge University Press:  09 April 2009

J. Hass  and
W. Menasco
J. Hass
Affiliation:
University of California, Davis, California, U.S.A., e-mail: [email protected]
W. Menasco
Affiliation:
SUNY at Buffalo, Buffalo, New York, U.S.A., e-mail: [email protected]
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Abstract

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A closed irreducible 3-manifold M is topologically rigid if any homotopy equivalent irreducible 3-manifold is homeomorphic to M. A construction is given which produces infinitely many non-Haken topologically rigid 3-manifolds

MSC classification

Secondary: 57N10: Topology of general $3$-manifolds
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 55 , Issue 1 , August 1993 , pp. 60 - 71
Copyright
Copyright © Australian Mathematical Society 1993

References

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