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Control and relaxation over the circle

About this Title

Bruce Hughes and Stratos Prassidis

Publication: Memoirs of the American Mathematical Society
Publication Year: 2000; Volume 145, Number 691
ISBNs: 978-0-8218-2069-8 (print); 978-1-4704-0282-2 (online)
DOI: https://doi.org/10.1090/memo/0691
MathSciNet review: 1686654
MSC: Primary 57Q55; Secondary 19J10

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Table of Contents

Chapters

  • 1. Introduction and statement of results
  • 2. Moduli spaces of manifolds and maps
  • 3. Wrapping-up and unwrapping as simplicial maps
  • 4. Relaxation as a simplicial map
  • 5. The Whitehead spaces
  • 6. Torsion and a higher sum theorem
  • 7. Nil as a geometrically defined simplicial set
  • 8. Transfers
  • 9. Completion of the proof
  • 10. Comparison with the lower algebraic nil groups