2-local unstable homotopy groups of indecomposable A32-complexes

In this paper, we calculate the 2-local unstable homotopy groups of indecomposable A 3 2 -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 → Σ...

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Veröffentlicht in:Science China. Mathematics 2024, Vol.67 (3), p.607-626
Hauptverfasser: Zhu, Zhongjian, Pan, Jianzhong
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we calculate the 2-local unstable homotopy groups of indecomposable A 3 2 -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 .
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-022-2113-9