03476nam 2200577 450 991078884080332120180731043559.01-4704-0282-3(CKB)3360000000464875(EBL)3114372(SSID)ssj0000973359(PQKBManifestationID)11514576(PQKBTitleCode)TC0000973359(PQKBWorkID)10959571(PQKB)11306003(MiAaPQ)EBC3114372(RPAM)11882724(PPN)195415760(EXLCZ)99336000000046487520000106d2000 uy| 0engur|n|---|||||txtccrControl and relaxation over the circle /Bruce Hughes, Stratos PrassidisProvidence, Rhode Island :American Mathematical Society,2000.1 online resource (113 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 691"May 2000, volume 145, number 691 (end of volume)."0-8218-2069-9 Includes bibliographical references.""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. Wrappingâ€?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 Monoidâ€?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 Nilâ€?Groups""; ""10.2. The Definition of the Homomorphism between Algebraic and Geometric Nilâ€?groups""; ""10.3. Delooping of Nilâ€?spaces""; ""Appendix A. Controlled Homotopies on Mapping Tori""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 691.Infinite-dimensional manifoldsK-theoryInfinite-dimensional manifolds.K-theory.510 s514/.3Hughes Bruce60990Prassidis Stratos1962-MiAaPQMiAaPQMiAaPQBOOK9910788840803321Control and relaxation over the circle3837738UNINA