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The Convergences of Part of Algebraic Representatives
Wen SHEN
Both Adams spectral sequence and Adams–Novikov spectral sequence converge to the stable homotopy groups of sphere π*(S). Suppose an element x in the E2-term of the Adams–Novikov spectral sequence converges to a homotopy element in π*(S). In this paper we determine that the algebraic representative in the E2-term of the Adams spectral sequence converges to the same homotopy element under the conditions related to the Novikov weight and homological dimension.
Adams spectral sequence / Adams resolution / geometric boundary theorem / algebraic representative
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