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ℤ2-equivariant hierarchies of irreducible 3-manifolds containing two-sided projective planes

Published online by Cambridge University Press:  24 October 2008

John Kalliongis
John Kalliongis
Affiliation:
Saint Louis University, Saint Louis, Missouri 63103, U.S.A.
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Abstract

For a compact irreducible 3-manifold containing 2-sided projective planes and admitting a ℤ2-action, we consider the problem of when there exists a ℤ2-equivariant hierarchy. We show that a ℤ2-equivariant hierarchy always exists if either every irreducible summand of the orientable double cover has infinite first homology or every 2-sided projective plane is boundary parallel.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 109 - 125
Copyright
Copyright © Cambridge Philosophical Society 1992

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