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We construct a family of 3-balls using cones which represent closed orientable 3-manifolds and study twisted face-pairing construction due to Cannon, Floyd and Parry to understand the structure of such manifolds. Moreover, we prove that those manifolds are hyperbolic.
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참고문헌 (12)
참고문헌 신청
B. Ruini / 1998 / On the structure of Takahashi manifolds / Tsukuba J. Math. 22 (3) : 723 ~ 739
D. Rolfsen / 1976 / Knots and Links, Mathematics Lecture Series, No. 7 / Publish or Perish, Inc.
H. Helling / / On Fibonacci groups, preprint
J. W. Cannon / / A survey of twisted face-pairing 3-manifolds, preprint
J. W. Cannon / / Ample twisted face-pairing 3-manifolds, preprint
D. Rolfsen / 1976 / Knots and Links, Mathematics Lecture Series, No. 7 / Publish or Perish, Inc.
H. Helling / / On Fibonacci groups, preprint
J. W. Cannon / / A survey of twisted face-pairing 3-manifolds, preprint
J. W. Cannon / / Ample twisted face-pairing 3-manifolds, preprint
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