Pairings and products in the homotopy spectral sequence
Pairings and products in the homotopy spectral sequence
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同伦谱序列中的配对和乘积
DOI：
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发表时间：
1973
期刊：
影响因子：
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通讯作者：
D. M. Kan
中科院分区：
文献类型：
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作者：
A. K. Bousfield;D. M. Kan
在不稳定的亚当斯谱序列中构造了Smash对、合成对和Whitehead积，并在E2水平上对它们进行了同调描述.在Massey-Peterson谱序列的特殊情况下，合成作用由Yoneda乘积同调给出，而Whitehead乘积为零。证明了有理数上的不稳定亚当斯谱序列及其Whitehead积是由有理cobar谱序列中的本原元给出的。
Smash and composition pairings, as well as Whitehead products are constructed in the unstable Adams spectral sequence; and these pairings and products are described homologically on the E2 level. In the special case of the Massey-Peterson spectral sequence, the composition action is given homologically by the Yoneda product, while the Whitehead product vanishes. It is also shown that the unstable Adams spectral sequence over the rationals, with its Whitehead products, is given by the primitive elements in the rational cobar spectral sequence.