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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Irreducible $ 3$-manifolds of genus $ 3$ containing a $ 2$-sided projective plane


Author: Seiya Negami
Journal: Proc. Amer. Math. Soc. 89 (1983), 545-550
MSC: Primary 57N10; Secondary 57M99
MathSciNet review: 715884
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Abstract: It will be shown that the minimum genus over all Heegaard splittings which yield irreducible closed $ 3$-manifolds containing a $ 2$-sided projective plane but not homeomorphic to $ {P^2} \times {S^1}$ is equal to 3, with an infinite number of examples of genus 3.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0715884-7
PII: S 0002-9939(1983)0715884-7
Keywords: Heegaard splittings, $ 2$-sided projective planes in $ 3$-manifolds
Article copyright: © Copyright 1983 American Mathematical Society