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2-local unstable homotopy groups of indecomposable A 23 -complexes

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Abstract

In this paper, we calculate the 2-local unstable homotopy groups of indecomposable A 23 -complexes. The main technique used is analysing the homotopy property of J (A, X), defined by Gray (1973) for a CW-pair (X, A), which is homotopy equivalent to the homotopy fibre of the pinch map X ∪ CA → ΣA.

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Acknowledgements

The first author was supported by National Natural Science Foundation of China (Grant No. 11701430). The second author was supported by National Natural Science Foundation of China (Grant No. 11971461).

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Authors and Affiliations

  1. College of Mathematics and Physics, Wenzhou University, Wenzhou, 325035, China

    Zhongjian Zhu

  2. Hua Loo-Keng Key Laboratory of Mathematics, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Jianzhong Pan

  3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Jianzhong Pan

Authors
  1. Zhongjian Zhu
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  2. Jianzhong Pan
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Correspondence to Jianzhong Pan.

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Zhu, Z., Pan, J. 2-local unstable homotopy groups of indecomposable A 23 -complexes. Sci. China Math. 67, 607–626 (2024). https://doi.org/10.1007/s11425-022-2113-9

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  • DOI: https://doi.org/10.1007/s11425-022-2113-9

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