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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2000.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 691. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | "May 2000, volume 145, number 691 (end of volume)." |
| Descripción Física: | 1 online resource (ix, 96 pages) : illustrations. |
| Bibliografía: | Includes bibliographical references (pages 95-96). |
| ISBN: | 9781470402822 1470402823 |
| ISSN: | 1947-6221 ; 0065-9266 |