Publication Date:
1990-01-01
Description:
Downing [6] extended the well-known result that any closed3-manifoldXcontains a handlebodyHsuch thatc1(X−H)is homeomorphic toHin the case whereXis a compact3-manifold with nonvoid boundary. We show that ifXis a compact3-manifold with involutionhhaving2-dimensional fixed point set, thenXcontains anh-invariant handlebodyHsuch that the involutions induced onHandc1(X−H)are naturally equivalent.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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