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A note on 2-fold branched covering spaces ofS 3

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References

  1. Birman, J.S., González-Acuña, F., Montesinos, J.M.: Heegaard splittings of prime 3-manifolds are not unique. Michigan Math. J.23, 97–103 (1976)

    Google Scholar 

  2. Kirby, R.: Problems in low-dimensional manifold theory. Proc. Symp. Pure Math. XXXII, Part 2 pp. 273–312. Providence R.I.: A.M.S. 1978

    Google Scholar 

  3. Kirby, R., Lickorish, W.B.R.: Prime knots and concordance. Math. Proc. Cambridge Philos. Soc.86, 437–441 (1979)

    Google Scholar 

  4. Montesinos, J.M.: Variedades de Seifert que son recubridores ciclicos ramificados de dos hojas. Bol. Soc. Mat. Méxicana18, 1–32 (1973)

    Google Scholar 

  5. Montesinos, J.M.: Surgery on links and double branched covers ofS 3. Ann. Math. Stud.84, 227–259 (1975)

    Google Scholar 

  6. Parris, R.L.: Pretzel knots. Princeton University, Ph. D. Thesis 1978

  7. Rolfsen, D.: Knots and links. Mathematics Lecture Series 7. Berkeley: Publish or Perish Inc. 1976

    Google Scholar 

  8. Schubert, H.: Die eindeutige Zerlegbarkeit eines Knotens in Primknoten. S.-B.. Heidelberger Akad. Wiss. Math.-Natur Kl.3, 57–104 (1949)

    Google Scholar 

  9. Seifert, H.: Topologie dreidimensionaler gefaserter Räume. Acta Math.60, 147–238 (1933)

    Google Scholar 

  10. Takahashi, M.: Two knots with the same 2-fold branched covering space. Yokohama Math. J.25 91–99 (1977)

    Google Scholar 

  11. Trotter, H.F.: Some knots spanned by more than one unknotted surface of minimal genus. Ann. Math. Stud.84, 51–62 (1975)

    Google Scholar 

  12. Viro, O. Ya.: Nonprojecting isotopies and knots with homeomorphic coverings. J. Soviet Math.12, 86–96 (1979)

    Google Scholar 

  13. Waldhausen, F.: Eine Klasse von 3-dimensionalen Mannigfaltigkeiten II. Inventiones Math4, 87–117 (1967)

    Google Scholar 

  14. Waldhausen, F.: Über Involutionen der 3-Sphäre. Topology8, 81–91 (1969)

    Google Scholar 

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  1. Department of Mathematics, Kobe University, Kobe 657, Japan

    Taizo Kanenobu

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  1. Taizo Kanenobu
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Kanenobu, T. A note on 2-fold branched covering spaces ofS 3 . Math. Ann. 256, 449–452 (1981). https://doi.org/10.1007/BF01450540

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