Fr. 111.60

Algebraic L-Theory and Topological Manifolds

English · Paperback / Softback

Shipping usually within 1 to 3 weeks (not available at short notice)

Description

Read more

Klappentext This book explains the applications of quadratic forms to the classification of topological manifolds! in a unified algebraic framework. Zusammenfassung This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincaré duality space with a local quadratic structure in the chain homotopy type of the universal cover. Inhaltsverzeichnis Introduction; Summary; Part I. Algebra: 1. Algebraic Poincaré complexes; 2. Algebraic normal complexes; 3. Algebraic bordism categories; 4. Categories over complexes; 5. Duality; 6. Simply connected assembly; 7. Derived product and Hom; 8. Local Poincaré duality; 9. Universal assembly; 10. The algebraic ¿-¿ theorem; 11. ¿-sets; 12. Generalized homology theory; 13. Algebraic L-spectra; 14. The algebraic surgery exact sequence; 15. Connective L-theory; Part II. Topology: 16. The L-theory orientation of topology; 17. The total surgery obstruction; 18. The structure set; 19. Geometric Poincaré complexes; 20. The simply connected case; 21. Transfer; 22. Finite fundamental group; 23. Splitting; 24. Higher signatures; 25. The 4-periodic theory; 26. Surgery with coefficients; Appendices; Bibliography; Index.

Product details

Authors A. A. Ranicki, A. A. (University of Edinburgh) Ranicki
Publisher Cambridge University Press ELT
 
Languages English
Product format Paperback / Softback
Released 21.01.2008
 
EAN 9780521055215
ISBN 978-0-521-05521-5
No. of pages 372
Series Cambridge Tracts in Mathematic
Subject Natural sciences, medicine, IT, technology > Mathematics > Geometry

Customer reviews

No reviews have been written for this item yet. Write the first review and be helpful to other users when they decide on a purchase.

Write a review

Thumbs up or thumbs down? Write your own review.

For messages to CeDe.ch please use the contact form.

The input fields marked * are obligatory

By submitting this form you agree to our data privacy statement.