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Finiteness of mapping degree sets for 3-manifolds

Acta Mathematica Sinica, English Series volume 27, Article number: 807 (2011) Cite this article

Abstract

By constructing certain maps, this note completes the answer of the question: For which closed orientable 3-manifold N, is the set of mapping degrees D(M,N) finite for any closed orientable 3-manifold M?

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Authors and Affiliations

  1. Centre de Mathématiques et d’Informatique, Technopole de Chateau-Gombert, 39, rue Frédéric Joliot-Curie, 13453, Marseille Cedex 13, France

    Pierre Derbez

  2. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Hong Bin Sun

  3. Department of Mathematics, Peking University, Beijing, 100871, P. R. China

    Shi Cheng Wang

Authors
  1. Pierre Derbez
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  2. Hong Bin Sun
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  3. Shi Cheng Wang
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Corresponding author

Correspondence to Pierre Derbez.

Additional information

The third author is partially supported by National Natural Science Foundation of China (Grant No. 10631060) and Ph.D. grant of the Ministry of Education of China (Grant No. 5171042-055)

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Derbez, P., Sun, H.B. & Wang, S.C. Finiteness of mapping degree sets for 3-manifolds. Acta. Math. Sin.-English Ser. 27, 807 (2011). https://doi.org/10.1007/s10114-011-0416-x

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  • DOI: https://doi.org/10.1007/s10114-011-0416-x

Keywords

  • 3-Manifolds
  • mapping degrees
  • finiteness

MR(2000) Subject Classification

  • 57M99
  • 55M25