Lower K- and L-theory:
This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are important in the topology o...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1992
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| Schriftenreihe: | London Mathematical Society lecture note series
178 |
| Links: | https://doi.org/10.1017/CBO9780511526329 |
| Zusammenfassung: | This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are important in the topology of non-compact manifolds such as Euclidean spaces, being the value groups for Whitehead torsion, the Siebemann end obstruction and the Wall finiteness and surgery obstructions. Some of the applications to topology are included, such as the obstruction theories for splitting homotopy equivalences and for fibering compact manifolds over the circle. Only elementary algebraic constructions are used, which are always motivated by topology. The material is accessible to a wide mathematical audience, especially graduate students and research workers in topology and algebra. |
| Umfang: | 1 Online-Ressource (174 Seiten) |
| ISBN: | 9780511526329 |
Internformat
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| indexdate | 2025-03-03T11:58:04Z |
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| isbn | 9780511526329 |
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| spelling | Ranicki, Andrew 1948- Lower K- and L-theory Andrew Ranicki Lower K- & L-theory Cambridge Cambridge University Press 1992 1 Online-Ressource (174 Seiten) txt c cr London Mathematical Society lecture note series 178 This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are important in the topology of non-compact manifolds such as Euclidean spaces, being the value groups for Whitehead torsion, the Siebemann end obstruction and the Wall finiteness and surgery obstructions. Some of the applications to topology are included, such as the obstruction theories for splitting homotopy equivalences and for fibering compact manifolds over the circle. Only elementary algebraic constructions are used, which are always motivated by topology. The material is accessible to a wide mathematical audience, especially graduate students and research workers in topology and algebra. Erscheint auch als Druck-Ausgabe 9780521438018 |
| spellingShingle | Ranicki, Andrew 1948- Lower K- and L-theory |
| title | Lower K- and L-theory |
| title_alt | Lower K- & L-theory |
| title_auth | Lower K- and L-theory |
| title_exact_search | Lower K- and L-theory |
| title_full | Lower K- and L-theory Andrew Ranicki |
| title_fullStr | Lower K- and L-theory Andrew Ranicki |
| title_full_unstemmed | Lower K- and L-theory Andrew Ranicki |
| title_short | Lower K- and L-theory |
| title_sort | lower k and l theory |
| work_keys_str_mv | AT ranickiandrew lowerkandltheory AT ranickiandrew lowerkltheory |