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Equivariant maps of spheres into the classical groups

About this Title

Jon Folkman

Publication: Memoirs of the American Mathematical Society
Publication Year: 1971; Number 95
ISBNs: 978-0-8218-1295-2 (print); 978-1-4704-0045-3 (online)
DOI: https://doi.org/10.1090/memo/0095
MathSciNet review: 0322862

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Definitions and preliminary lemmas
  • 3. Equivariant maps into $U_n$
  • 4. Equivariant maps into ${SO}_n$, $O_n$ and ${Sp}(n)$
  • 5. Mappings from arbitrary free actions on $S^n$
  • 6. Vector bundles over lens spaces
  • 7. Tangential homotopy type of lens spaces
  • 8. Examples
  • 9. Homotopy groups
  • 10. Proofs of the lemmas