Finiteness of Mapping Degree Sets for 3-Manifolds  被引量:2

Finiteness of Mapping Degree Sets for 3-Manifolds

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作  者:Pierre DERBEZ Hong Bin SUN Shi Cheng WANG 

机构地区:[1]Centre de Mathematiques et d'Informatique, Technopole de Chateau-Gombert, 39, rue Frdddric Joliot-Curie-13453 Marseille Cedex 13, France [2]Department of Mathematics, Princeton University, Princeton NJ 08544, USA [3]Department of Mathematics, Peking University, Beijing 100871, P. R. China

出  处:《Acta Mathematica Sinica,English Series》2011年第5期807-812,共6页数学学报(英文版)

基  金: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)

摘  要: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?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?

关 键 词:3-Manifolds mapping degrees FINITENESS 

分 类 号:O189.3[理学—数学] P205[理学—基础数学]

 

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