2-local unstable homotopy groups of indecomposable A^(2)_(3)-complexes  

作　　者：Zhongjian Zhu Jianzhong Pan 

机构地区：[1]College of Mathematics and Physics,Wenzhou University,Wenzhou 325035,China [2]Hua Loo-Keng Key Laboratory of Mathematics,Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [3]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Science China Mathematics》2024年第3期607-626,共20页中国科学（数学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11701430), supported by National Natural Science Foundation of China (Grant No. 11971461)。

摘　　要：In this paper,we calculate the 2-local unstable homotopy groups of indecomposable A^(2)_(3)-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→∑A.

关 键 词：homotopy groups A^(2)_(n)-complexes fibration sequence relative James construction 

分 类 号：O152[理学—数学]