$3$-manifolds which contain nonparallel projective planes
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- by Tsuyoshi Kobayashi PDF
- Proc. Amer. Math. Soc. 91 (1984), 314-318 Request permission
Abstract:
We show that if a closed, connected $3$-manifold with a Heegaard splitting of genus three contains mutually disjoint and nonparallel $2$-sided projective planes, then the manifold is homeomorphic to the connected sum of ${P^2} \times {S^1}$ and the twisted $2$-sphere bundle over the circle.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 314-318
- MSC: Primary 57N10; Secondary 57Q65
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740193-0
- MathSciNet review: 740193