Ends of Complexes

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.

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