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Strongly reversible manifolds

Part of: Topological manifolds

Published online by Cambridge University Press:  09 April 2009

J. Hocking  and
P. Doyle
J. Hocking
Affiliation:
Department of Mathematics Michigan State UniversityWells HallEast Lansing, Michigan 48824, U.S.A.
P. Doyle
Affiliation:
Department of Mathematics Michigan State UniversityWells HallEast Lansing, Michigan 48824, U.S.A.
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Abstract

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The results here concern bijective continous functions from one connected separable n-manifold M to another N. If M has the property that every such function is necessarily a homeomorphism, then M is said to be strongly reversible. Strongly reversible manifolds having only compact boundary components are completely charaterized.

MSC classification

Secondary: 57N15: Topology of $E^n$, $n$-manifolds ($4 less n less infty$)

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 172 - 176
Copyright
Copyright © Australian Mathematical Society 1983

References

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