호남수학학술지 (Honam Mathematical Journal)

  • 제32권1호
  • /
  • Pages.73-76
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  • 2010
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  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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NOTE ON DEHN FILLINGS CREATING MAöBIUS BANDS AND KLEIN BOTTLES

  • 투고 : 2010.02.02
  • 심사 : 2010.03.10
  • 발행 : 2010.03.25
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초록

In this paper we investigate the distances between Dehn fillings on a hyperbolic 3-manifold that yield 3-manifolds containing a M$\"{o}$bius band and a Klein bottle.

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참고문헌

  1. G. T. Jin, S. Lee, S. Oh and M. Teragaito, $P^2$-reducing and toroidal Dehn fillings, Math. Proc. Camb. Philos. Soc. 134 (2003), 271-288. https://doi.org/10.1017/S0305004102006412
  2. S. Lee, S. Oh and M. Teragaito, Reducing Dehn fillings and small surfaces, Proc. London Math. Soc. (3) 92 (2006), 203-223. https://doi.org/10.1017/S002461150501542X