Groups of Self-Equivalences and Related Topics

1. Front Matter

   Pages I-IV

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2. Equivalent homotopy theories and groups of self-equivalences

   • Peter Booth

   Pages 1-16

3. On the group ɛ(X×Y) and ɛ ^B_B (X×_BY)

   • P. I. Booth, P. R. Heath

   Pages 17-31

4. Homotopie Des Espaces D'Equivalences

   • G. Didierjean

   Pages 32-39

5. The space of self maps on the 2-sphere

   • Vagn Lundsgaard Hansen

   Pages 40-47

6. Finite presentation of 3-manifold mapping class groups

   • Allen Hatcher, Darryl McCullough

   Pages 48-57

7. Representations of the stable group of self-equivalences

   • Donald W. Kahn

   Pages 58-70

8. Homotopy equivalences in 2-categories

   • Howard J. Marcum

   Pages 71-86

9. Localizing ɛ#(X)

   • Ken-ichi Maruyama

   Pages 87-90

10. Weak equivalences and quasifibrations

    • J. P. May

    Pages 91-101

11. Topological and algebraic automorphisms of 3-manifolds

    • Darryl McCullough

    Pages 102-113

12. Projecting homeomorphisms from covering spaces

    • Andy Miller

    Pages 114-132

13. Equivariant self-homotopy equivalences of 2-stage G-spaces

    • Jesper Michael Møller

    Pages 133-146

14. On skeleton preserving homotopy self-equivalences of CW complexes

    • John W. Rutter

    Pages 147-156

15. Self-homotopy equivalences and highly connected poincaré complexes

    • Kohhei Yamaguchi

    Pages 157-169

16. The group of self-homotopy equivalences - a survey

    • Martin Arkowitz

    Pages 170-203

17. Some research problems on homotopy-self-equivalences

    • Donald W. Kahn

    Pages 204-207

18. List of papers on or relevant to groups of self-homotopy equivalences

    • Renzo A. Piccinini

    Pages 208-214

19. Back Matter

    Pages 215-218

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Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles.

• CW complex
• Equivalence
• Finite
• Homotopy
• Manifold
• Morphism
• algebra
• fibrations

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