| Description |
1 online resource (ix, 96 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 691 |
|
Memoirs of the American Mathematical Society ; no. 691. 0065-9266
|
| 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 |
| Summary |
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 circle with that of the complex. By using methods of controlled topology, we also obtain a geometric version of the Fundamental Theorem of Lower Algebraic K-Theory. The main new innovation is a geometrically defined Nil space |
| Notes |
"May 2000, volume 145, number 691 (end of volume)." |
| Bibliography |
Includes bibliographical references (pages 95-96) |
| Notes |
Print version record |
| Subject |
Infinite-dimensional manifolds.
|
|
K-theory.
|
|
Infinite-dimensional manifolds
|
|
K-theory
|
| Form |
Electronic book
|
| Author |
Prassidis, Stratos, 1962-
|
| LC no. |
00020860 |
| ISBN |
9781470402822 |
|
1470402823 |
|
