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Fundamenta Mathematicae

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Degree one maps on 4-manifolds with cyclic fundamental groups

Volume 267 / 2024

Yang Su, Shicheng Wang, Zhongzi Wang Fundamenta Mathematicae 267 (2024), 99-116 MSC: Primary 57R19; Secondary 55M25 DOI: 10.4064/fm269-7-2024 Published online: 9 October 2024

Abstract

We investigate degree one maps between closed orientable 4-manifolds with cyclic fundamental groups, obtaining results on their existence and finiteness. We also explore the relationship between 1-domination and Euler characteristic.

Authors

  • Yang SuSchool of Mathematics and Systems Science
    Chinese Academy of Sciences
    Beijing, 100190, P. R. China
    and
    School of Mathematical Sciences
    University of Chinese Academy of Sciences
    Beijing, 100049, P. R. China
    e-mail
  • Shicheng WangSchool of Mathematical Sciences
    Peking University
    Beijing, 100871, P. R. China
    e-mail
  • Zhongzi WangSchool of Mathematical Sciences
    Peking University
    Beijing, 100871, P. R. China
    e-mail
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