Control and relaxation over the circle /
We formulate and prove a geometric version of the Fundamental Theorem of Algebraic K-Theory which relates the K-theory of the Laurent polynomial extension of a ring to the K-theory of the ring. The geometric version relates the higher simple homotopy theory of the product of a finite complex and a c...
Call Number: | Libro Electrónico |
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Main Author: | |
Other Authors: | |
Format: | Electronic eBook |
Language: | Inglés |
Published: |
Providence, R.I. :
American Mathematical Society,
2000.
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Series: | Memoirs of the American Mathematical Society ;
no. 691. |
Subjects: | |
Online Access: | Texto completo |
Table of Contents:
- 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.