Pontrjagin Classes, the Fundamental Group and some Problems of Stable Algebra1
Pontrjagin Classes, the Fundamental Group and some Problems of Stable Algebra1
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DOI：
10.1007/978-3-642-49197-9_14
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发表时间：
1970
期刊：
影响因子：
--
通讯作者：
S. Novikov
中科院分区：
文献类型：
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作者：
S. Novikov
本文主要研究Pontrjagin类的拓扑不变性和同伦不变性以及与之密切相关的代数拓扑和稳定代数问题。这些问题已经出现了作者的论文拓扑和同伦不变性的理性Pontrjagin类，根据发现的深层联系之间的特征类和基本组。与非单连通流形（特别是当π1=Z× ··· ×Z时）的非单同态问题和Pontrjagin类有关的新的稳定代数问题。
This paper deals mainly with problems connected with topological and homotopic invariance of Pontrjagin classes and some closely related problems of algebraic topology and stable algebra. These questions have arisen from the authors’ papers on topological and homotopic invariance of rational Pontrjagin classes, based on the discovery of deep connections between characteristic classes and the fundamental group. There are a number of new stable algebraic problems connected with the diffeomorphism problem and Pontrjagin classes of nonsimply connected manifold (especially when π1=Z× • • • ×Z).