The homology of iterated loop spaces
The homology of iterated loop spaces
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DOI：
10.1515/form.2002.016
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发表时间：
2000-10
期刊：
影响因子：
--
通讯作者：
V. Smirnov
中科院分区：
文献类型：
--
作者：
V. Smirnov
用cobar结构表示了迭代loop空间的奇异链复形。然后，我们考虑了cobar结构的谱序列，并计算了其在Z/p-系数和特征为零的域上的第一项。最后，我们应用这些结果计算了发育真实的和复射影空间的迭代圈空间的同调。在附录中，写的F. Sergeraert有被认为是计算机方法计算的同源性的迭代循环空间。
The singular chain complex of the iterated loop space is expressed in terms of the cobar construction. After that we consider the spectral sequence of the cobar construction and calculate its first term over Z/p-coefficients and over a field of characteristic zero. Finally we apply these results to calculate the homology of the iterated loop spaces of the stunted real and complex projective spaces. In the Appendix, written by F.Sergeraert there are considered computer methods for calculations of the homology of iterated loop spaces.