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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 |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
2000.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 691. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Hughes, Bruce. | |
| 245 | 1 | 0 | |a Control and relaxation over the circle / |c Bruce Hughes, Stratos Prassidis. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2000. | ||
| 300 | |a 1 online resource (ix, 96 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 691 | |
| 500 | |a "May 2000, volume 145, number 691 (end of volume)." | ||
| 504 | |a Includes bibliographical references (pages 95-96). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a 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. | |
| 505 | 0 | 0 | |t 1. Introduction and statement of results |t 2. Moduli spaces of manifolds and maps |t 3. Wrapping-up and unwrapping as simplicial maps |t 4. Relaxation as a simplicial map |t 5. The Whitehead spaces |t 6. Torsion and a higher sum theorem |t 7. Nil as a geometrically defined simplicial set |t 8. Transfers |t 9. Completion of the proof |t 10. Comparison with the lower algebraic nil groups. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Infinite-dimensional manifolds. | |
| 650 | 0 | |a K-theory. | |
| 650 | 6 | |a Variétés de dimension infinie. | |
| 650 | 6 | |a K-théorie. | |
| 650 | 7 | |a Infinite-dimensional manifolds |2 fast | |
| 650 | 7 | |a K-theory |2 fast | |
| 700 | 1 | |a Prassidis, Stratos, |d 1962- |1 https://id.oclc.org/worldcat/entity/E39PCjFP7pxcdRKYmPRg36dyBd | |
| 758 | |i has work: |a Control and relaxation over the circle (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGkBb8dbrJpkYHJbFp8bv3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Hughes, Bruce. |t Control and relaxation over the circle / |x 0065-9266 |z 9780821820698 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 691. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3114372 |z Texto completo |
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