An extension of Rourke’s proof that $\Omega _ 3=0$ to nonorientable manifolds
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- by Fredric D. Ancel and Craig R. Guilbault PDF
- Proc. Amer. Math. Soc. 115 (1992), 283-291 Request permission
Abstract:
A classical result in manifold theory states that every closed $3$-manifold bounds a compact $4$-manifold. In 1985 C. Rourke discovered a strikingly short and elementary proof of the orientable case of this theorem $({\Omega _3} = 0)$. In this note we show that Rourke’s approach can be extended to include nonorientable $3$-manifolds.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 283-291
- MSC: Primary 57N10; Secondary 57N70
- DOI: https://doi.org/10.1090/S0002-9939-1992-1092913-0
- MathSciNet review: 1092913