Groups of Self-Equivalences and Related Topics

Proceedings of a Conference held in Montreal, Canada, Aug. 8-12, 1988

Buch | Softcover

VIII, 220 Seiten

1990
Springer Berlin (Verlag)
978-3-540-52658-2 (ISBN)

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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.

Equivalent homotopy theories and groups of self-equivalences.- On the group ?(X×Y) and ? B B (X×BY).- Homotopie Des Espaces D'Equivalences.- The space of self maps on the 2-sphere.- Finite presentation of 3-manifold mapping class groups.- Representations of the stable group of self-equivalences.- Homotopy equivalences in 2-categories.- Localizing ?#(X).- Weak equivalences and quasifibrations.- Topological and algebraic automorphisms of 3-manifolds.- Projecting homeomorphisms from covering spaces.- Equivariant self-homotopy equivalences of 2-stage G-spaces.- On skeleton preserving homotopy self-equivalences of CW complexes.- Self-homotopy equivalences and highly connected poincaré complexes.- The group of self-homotopy equivalences - a survey.- Some research problems on homotopy-self-equivalences.- List of papers on or relevant to groups of self-homotopy equivalences.

Erscheint lt. Verlag	12.6.1990
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 220 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 242 mm
Gewicht	327 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebra • CW complex • Equivalence • fibrations • Finite • Hardcover, Softcover / Mathematik/Geometrie • Homotopy • manifold • Morphism
ISBN-10	3-540-52658-7 / 3540526587
ISBN-13	978-3-540-52658-2 / 9783540526582
Zustand	Neuware