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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aControl and relaxation over the circle /$fBruce Hughes, Stratos Prassidis
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2000.
215   $a1 online resource (113 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 691
300   $a"May 2000, volume 145, number 691 (end of volume)."
311   $a0-8218-2069-9 
320   $aIncludes bibliographical references.
327   $a""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. Wrappinga???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""
327   $a""Chapter 4. Relaxation as a Simplcial Map""""Chapter 5. The Whitehead Spaces""; ""5.1. The Controlled Whitehead Space""; ""5.2. Abelian Monoida???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""
327   $a""9.2. Description of Finite Structures on Mapping Tori""""9.3. Definition of an Embedding M a??? T(w)""; ""9.4. Definition of the Relaxation""; ""9.5. Splittings""; ""9.6. Splitting of T"", Second Splitting of T(w)""; ""9.7. Completion of the Proof""; ""Chapter 10. Comparison with the Lower Algebraic Nil Groups""; ""10.1. Preliminaries on the Algebraic Lower Nila???Groups""; ""10.2. The Definition of the Homomorphism between Algebraic and Geometric Nila???groups""; ""10.3. Delooping of Nila???spaces""; ""Appendix A. Controlled Homotopies on Mapping Tori""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 691.
606   $aInfinite-dimensional manifolds
606   $aK-theory
615  0$aInfinite-dimensional manifolds.
615  0$aK-theory.
676   $a510 s
676   $a514/.3
700   $aHughes$b Bruce$060990
702   $aPrassidis$b Stratos$f1962-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910808070103321
996   $aControl and relaxation over the circle$94003870
997   $aUNINA