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Pontrjagin Classes, the Fundamental Group and some Problems of Stable Algebra1

In: Essays on Topology and Related Topics

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  • S. P. Novikov

Abstract

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).

Suggested Citation

  • S. P. Novikov, 1970. "Pontrjagin Classes, the Fundamental Group and some Problems of Stable Algebra1," Springer Books, in: Essays on Topology and Related Topics, pages 147-155, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-49197-9_14
    DOI: 10.1007/978-3-642-49197-9_14
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