数学季刊 ›› 1997, Vol. 12 ›› Issue (4): 107-110.

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3-流行中的跨平环

  

  1. Department of Mathematics,Inner Mongolia National  Teacher's  College,Tongliao;Department  of Mathematics,Jilin  University,Changchun


  • 收稿日期:1997-09-06 出版日期:1997-12-30 发布日期:2024-11-19
  • 基金资助:
    Partially Supported by NSF of China.

Spanning Annuli in 3-manifolds

  1. Department of Mathematics,Inner Mongolia National  Teacher's  College,Tongliao;Department  of Mathematics,Jilin  University,Changchun
  • Received:1997-09-06 Online:1997-12-30 Published:2024-11-19
  • Supported by:
    Partially Supported by NSF of China.

摘要: An essential annulus A properly imbedded in a 3-manifold M is said to be spanning with respect to a Hereaard splitting VUFW of M if the two components of A are lying in A and separately and A intersects the Heegaard surface F in one circle. In this paper,a sufficient and necessary condition that there is a spanning annulus A in a 3-manifold M with respect to the Heegaard splitting VUFW is given. 

关键词: Heegard splitting, spanning annulus

Key words: Heegard splitting, spanning annulus

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