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OverviewFull Product DetailsAuthor: M.M. Cohen , M M CohenPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of the original 1st ed. 1973 Volume: 10 Weight: 0.200kg ISBN: 9780387900551ISBN 10: 0387900551 Pages: 116 Publication Date: 06 April 1973 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsI. Introduction.- §1. Homotopy equivalence.- §2. Whitehead’s combinatorial approach to homotopy theory.- §3. CW complexes.- II. A Geometric Approach to Homotopy Theory.- §4. Formal deformations.- §5. Mapping cylinders and deformations.- §6. The Whitehead group of a CW comple.- §7. Simplifying a homotopically trivial CW pair.- §8. Matrices and formal deformations.- III. Algebra.- §9. Algebraic conventions.- §10. The groups KG(R).- §11. Some information about Whitehead groups.- §12. Complexes with preferred bases [= (R,G)-complexes].- §13. Acyclic chain complexes.- §14. Stable equivalence of acyclic chain complexes.- §15. Definition of the torsion of an acyclic comple.- §16. Milnor’s definition of torsion.- §17. Characterization of the torsion of a chain comple.- §18. Changing rings.- IV. Whitehead Torsion in the CW Category.- §19. The torsion of a CW pair — definition.- §20. Fundamental properties of the torsion of a pair.- §21. The natural equivalence of Wh(L) and ? Wh (?1Lj).- §22. The torsion of a homotopy equivalence.- §23. Product and sum theorems.- §24. The relationship between homotopy and simple-homotopy.- §25. Tnvariance of torsion, h-cobordisms and the Hauptvermutung.- V. Lens Spaces.- §26. Definition of lens spaces.- §27. The 3-dimensional spaces Lp,q.- §28. Cell structures and homology groups.- §29. Homotopy classification.- §30. Simple-homotopy equivalence of lens spaces.- §31. The complete classification.- Appendix: Chapman’s proof of the topological invariance of Whitehead Torsion.- Selected Symbols and Abbreviations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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