Umfang:
Online-Ressource (x, 311 p)
Ausgabe:
Reproduktion 2011
ISBN:
9783110858372
,
9783110097450
,
0899250297
Serie:
De Gruyter Studies in Mathematics 8
Inhalt:
"This book is a jewel- it explains important, useful and deep topics in Algebraic Topology that you won't find elsewhere, carefully and in detail." Prof. Günter M. Ziegler, TU Berlin
Anmerkung:
Includes bibliographical references and index
,
Chapter I Foundations; 1. Basic notions; 2. General remarks. Examples; 3. Elementary properties; 4. Functorial properties; 5. Differentiable manifolds. Tubes and slices; 6. Families of subgroups; 7. Equivariant maps; 8. Bundles; 9. Vector bundles; 10. Orbit categories, fundamental groups, and coverings; 11. Elementary algebra of transformation groups; Chapter II Algebraic Topology; 1. Equivariant CW-complexes; 2. Maps between complexes; 3. Obstruction theory; 4. The classification theorem of Hopf; 5. Maps between complex representation spheres; 6. Stable homotopy. Homology. Cohomology
,
7. Homology with families8. The Burnside ring and stable homotopy; 9. Bredon homology and Mackey functors; 10. Homotopy representations; Chapter III Localization; 1. Equivariant bundle cohomology; 2. Cohomology of some classifying spaces; 3. Localization; 4. Applications of localization; 5. Borel-Smith functions; 6. Further results for cyclic groups. Applications; Chapter IV The Burnside Ring; 1. Additive invariants; 2. The Burnside ring; 3. The space of subgroups; 4. Prime ideals; 5. Congruences; 6. Finiteness theorems; 7. Idempotent elements; 8. Induction categories; 9. Induction theory
,
10. The Burnside ring and localizationBibliography; Further reading; Subject index and symbols; More symbols
,
In English
Weitere Ausg.:
ISBN 9783110097450
Weitere Ausg.:
ISBN 9783110858372
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Tom Dieck, Tammo, 1938 - Transformation groups Berlin [u.a.] : de Gruyter, 1987 ISBN 0899250297
Weitere Ausg.:
ISBN 3110097451
Weitere Ausg.:
ISBN 9783110097450
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Kompakte Transformationsgruppe
;
Kompakte Transformationsgruppe
DOI:
10.1515/9783110858372
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Tom Dieck, Tammo 1938-
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