A handlebody with one pillbox has no fake $3$-cells
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- by J. O. Berge and Matthew G. Brin PDF
- Proc. Amer. Math. Soc. 52 (1975), 390-392 Request permission
Abstract:
The main result establishes upper bounds on the rank of ${H_1}$ of orientable $3$-manifolds with fake $3$-cells and on the rank of ${\pi _1}$ of closed orientable $3$-manifolds with fake $3$-cells. As a consequence we get that a $3$-manifold obtained by sewing one pillbox on a handlebody of arbitrary genus cannot contain a fake $3$-cell.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 390-392
- MSC: Primary 57A10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0375317-5
- MathSciNet review: 0375317