1.

Record Nr.

UNINA9910808070103321

Autore

Hughes Bruce

Titolo

Control and relaxation over the circle / / Bruce Hughes, Stratos Prassidis

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2000

ISBN

1-4704-0282-3

Descrizione fisica

1 online resource (113 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 691

Disciplina

510 s

514/.3

Soggetti

Infinite-dimensional manifolds

K-theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"May 2000, volume 145, number 691 (end of volume)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Chapter 1. Introduction and Statement of Results""; ""1.1. Introduction""; ""1.2. Statement of Results""; ""Chapter 2. Moduli Spaces of Manifolds and Maps""; ""2.1. The Simplcial Set of Manifolds""; ""2.2. The Simplcial Set of Manifold Approximate Fibrations""; ""2.3. The Simplcial Set of Manifold Bands""; ""2.4. The Forget Control Map""; ""Chapter 3. Wrapping�up and Unwrapping as Simplcial Maps""; ""3.1. Unwrapping""; ""3.2. Wrapping Up""; ""3.3. Definition of w""; ""3.4. Classifying Space Interpretation""; ""3.5. Independence of Covering Isotopy""

""Chapter 4. Relaxation as a Simplcial Map""""Chapter 5. The Whitehead Spaces""; ""5.1. The Controlled Whitehead Space""; ""5.2. Abelian Monoid�like Structures""; ""5.3. The Various SimpHcial Maps""; ""5.4. The Forget Control Map""; ""5.5. The Unwrapping Map""; ""5.6. The Wrapping Up Map""; ""5.7. Classifying Space Interpretation""; ""5.8. Delooping the Whitehead Space""; ""5.9. The Relaxation Map""; ""5.10. The Boundedness Condition on the Infinite Cyclic Cover""; ""5.11. Bounded Whitehead and Pseudoisotopy Spaces""; ""Chapter 6. Torsion and a Higher Sum Theorem""

""9.2. Description of Finite Structures on Mapping Tori""""9.3. Definition of an Embedding M â?? T(w)""; ""9.4. Definition of the Relaxation""; ""9.5. Splittings""; ""9.6. Splitting of T"", Second Splitting of T(w)"";



""9.7. Completion of the Proof""; ""Chapter 10. Comparison with the Lower Algebraic Nil Groups""; ""10.1. Preliminaries on the Algebraic Lower Nil�Groups""; ""10.2. The Definition of the Homomorphism between Algebraic and Geometric Nil�groups""; ""10.3. Delooping of Nil�spaces""; ""Appendix A. Controlled Homotopies on Mapping Tori""; ""Bibliography""