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On the Mislin genus of certain circle bundles and noncancellation

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  • Peter Hilton
  • Dirk Scevenels

Abstract

In an earlier paper, the authors proved that a process described much earlier for passing from a finitely generated nilpotent group N of a certain kind to a nilpotent space X of finite type produced a bijection of Mislin genera 𝒢 ( N ) ≅ 𝒢 ( X ) . The present paper is concerned with related results obtained by weakening the restrictions on N and generalizing the homotopical nature of the spaces X to be associated with a given N .

Suggested Citation

  • Peter Hilton & Dirk Scevenels, 2000. "On the Mislin genus of certain circle bundles and noncancellation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:903908
    DOI: 10.1155/S0161171200002854
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