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SD-splittings for Some Bordered 3-Manifolds

SD-splittings for Some Bordered 3-Manifolds
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摘要 In the present paper, we characterize the bordered 3-manifolds with genus 1 D-splittings and SD-splittings. We also describe a minimal genus SD-splitting for a handlebody and surface × I. In the present paper, we characterize the bordered 3-manifolds with genus 1 D-splittings and SD-splittings. We also describe a minimal genus SD-splitting for a handlebody and surface × I.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第5期1481-1484,共4页 数学学报(英文版)
基金 Work supported in part by a grant (No.10171024) of NSFC a grant of the Outstanding Youth Fellowship of Heilongjiang Province
关键词 HANDLEBODY SD-splitting genus of SD-splitting handlebody, SD-splitting, genus of SD-splitting
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参考文献6

  • 1Downing, J. S.: Decomposing compact 3-manifolds into homeomorphic handlebodies. Proc. Amer. Math.Soc., 24, 241-244 (1970)
  • 2Roeling, L. G.: The genus of an orientable 3-manifold with connected boundary. Illinois J. Math., 17,558-562 (1973)
  • 3Suzuki, S~: Handlebody splittings of compact 3-manifolds with boundary, Proceedings of Knot Theory, 1999 in Toronto
  • 4Jaco, W.: Lectures on three-manifold topology, Regional Conference Series in Mathematics. Amer. Math.Soc. 43: 1-64 (1981)
  • 5Hempel, J.: 3-manifolds, Ann of Math Studies, 86, Princeton Univ. Press Princeton, N J, 1976
  • 6Scharlemann, M., Thompson, A.: Heegaard splittings of surface x I are standard. Math. Ann., 295, 549-564(1993)

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