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Which 3-Manifolds Embed in Triod × I × I?

Published online by Cambridge University Press:  20 November 2018

Dale Rolfsen  and
Li Zhongmou
Dale Rolfsen
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, e-mail: rolfsen@math.ubc.ca
Li Zhongmou
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, e-mail: zhongmou@math.ubc.ca
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Abstract

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We classify the compact 3-manifolds whose boundary is a union of 2-spheres, and which embed in T ×I ×I, where T is a triod and I the unit interval. This class is described explicitly as the set of punctured handlebodies. We also show that any 3-manifold in T × I × I embeds in a punctured handlebody.

Keywords

57N1057N3557Q35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 3 , 01 September 1997 , pp. 370 - 375
Copyright
Copyright © Canadian Mathematical Society 1997

References

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