One-sided Heegaard splittings of non-Haken 3-manifolds

One-sided Heegaard splittings of non-Haken 3-manifolds

This paper has been withdrawn by the author, as the proof of Theorem 3.2 contains a flaw; subsequently, both it and Theorem 3.3 are not known to hold. The content of Section 5 has been improved and expanded upon in two separate papers. The structural properties in 5.1 and 5.2 appear in arXiv:1101.26...

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Veröffentlicht in:arXiv.org 2011-01
Hauptverfasser: Bartolini, Loretta, Rubinstein, J Hyam
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper has been withdrawn by the author, as the proof of Theorem 3.2 contains a flaw; subsequently, both it and Theorem 3.3 are not known to hold. The content of Section 5 has been improved and expanded upon in two separate papers. The structural properties in 5.1 and 5.2 appear in arXiv:1101.2603; the classification in 5.3 in arxiv:1101.2890. Please refer to Proposition 4.4 in the former as a reference for arXiv:0807.4795v1.
ISSN:2331-8422