Groups of Self-Equivalences and Related Topics: Proceedings of a Conference held in Montreal, Canada, Aug. 8–12, 1988

Peter Booth (auth.), Renzo A. Piccinini (eds.)3540526587, 9783540526582, 0387526587

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.

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Table of contents :
Equivalent homotopy theories and groups of self-equivalences….Pages 1-16
On the group ɛ (X×Y) and ɛ B B (X× B Y)….Pages 17-31
Homotopie Des Espaces D’Equivalences….Pages 32-39
The space of self maps on the 2-sphere….Pages 40-47
Finite presentation of 3-manifold mapping class groups….Pages 48-57
Representations of the stable group of self-equivalences….Pages 58-70
Homotopy equivalences in 2-categories….Pages 71-86
Localizing ɛ # (X)….Pages 87-90
Weak equivalences and quasifibrations….Pages 91-101
Topological and algebraic automorphisms of 3-manifolds….Pages 102-113
Projecting homeomorphisms from covering spaces….Pages 114-132
Equivariant self-homotopy equivalences of 2-stage G -spaces….Pages 133-146
On skeleton preserving homotopy self-equivalences of CW complexes….Pages 147-156
Self-homotopy equivalences and highly connected poincaré complexes….Pages 157-169
The group of self-homotopy equivalences – a survey….Pages 170-203
Some research problems on homotopy-self-equivalences….Pages 204-207
List of papers on or relevant to groups of self-homotopy equivalences….Pages 208-214