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Simplifying spines of
3-manifolds
Richard Paul Osborne |
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Vol. 74 (1978), No. 2, 473–480
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Abstract |
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It is well known that every compact 3-manifold has a spine that is a 2-dimensional cell complex with just one vertex. Such a cell complex determines a group presentation in a natural way. It seems natural to call K a simpler spine than K′ if the presentation corresponding to K is shorter than that corresponding to K′. In this paper we give an algebraic condition which is sufficient to guarantee the existence of a simpler spine. |
Mathematical Subject Classification
Primary: 57A10, 57A10
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Milestones
Received: 3 May 1976
Revised: 13 August 1976
Published: 1 February 1978
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Authors |
| Richard Paul Osborne | |
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