Ends of Complexes

Klappentext A systematic exposition of the theory and practice of ends of manifolds and CW complexes! not previously available. Zusammenfassung The book makes the topology of non-compact spaces accessible to both geometric and algebraic topologists! and algebraists. Recent developments are explained! and tools for further research are provided. In short! this book provides a systematic exposition of the theory and practice of ends of manifolds and CW complexes! along with their algebraic analogues for chain complexes. Inhaltsverzeichnis Introduction; Chapter summaries; Part I. Topology at Infinity: 1. End spaces; 2. Limits; 3. Homology at infinity; 4. Cellular homology; 5. Homology of covers; 6. Projective class and torsion; 7. Forward tameness; 8. Reverse tameness; 9. Homotopy at infinity; 10. Projective class at infinity; 11. Infinite torsion; 12. Forward tameness is a homotopy pushout; Part II. Topology Over the Real Line: 13. Infinite cyclic covers; 14. The mapping torus; 15. Geometric ribbons and bands; 16. Approximate fibrations; 17. Geometric wrapping up; 18. Geometric relaxation; 19. Homotopy theoretic twist glueing; 20. Homotopy theoretic wrapping up and relaxation; Part III. The Algebraic Theory: 21. Polynomial extensions; 22. Algebraic bands; 23. Algebraic tameness; 24. Relaxation techniques; 25. Algebraic ribbons; 26. Algebraic twist glueing; 27. Wrapping up in algebraic K- and L-theory; Part IV. Appendices; References; Index.

Product details

• Authors: Bruce Hughes, Bruce (Vanderbilt University Hughes, Bruce Ranicki Hughes, Andrew Ranicki
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 21.01.2008
• EAN: 9780521055192
• ISBN: 978-0-521-05519-2
• No. of pages: 380
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry