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Homotopy classification of maps between r−1 connected 2r dimensional manifolds

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Abstract

In this paper, we study the homotopy classification of continuous maps between two r−1 connected 2r dimensional topological manifolds M, N. If we assume some knowledge on the homotopy groups of spheres, then the complete classification can be obtained from the homotopy invariants of M, N. We design an algorithm and compose a program to give explicit computations.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

    Xu-an Zhao, Hong-zhu Gao & Xiao-le Su

Authors
  1. Xu-an Zhao
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  2. Hong-zhu Gao
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  3. Xiao-le Su
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Corresponding author

Correspondence to Hong-zhu Gao.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant No. 10671018)

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Zhao, Xa., Gao, Hz. & Su, Xl. Homotopy classification of maps between r−1 connected 2r dimensional manifolds. SCI CHINA SER A 50, 1093–1102 (2007). https://doi.org/10.1007/s11425-007-0073-9

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  • DOI: https://doi.org/10.1007/s11425-007-0073-9

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