This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.
Rezensionen / Stimmen
'This book achieves the purpose of providing an introduction which reaches the developing parts of the subject, and for those who already know a little algebraic topology is by far the best textbook for further study.' D.G. Palmer in Proceedings of the Edinburgh Mathematical Society 'This is a badly needed book. It does an excellent job of carrying the serious beginning student of algebraic topology to a genuine acquaintance with the field.' A. Heller in American Mathematical Reviews 'The book is written with great skill and contains a large number of exercises. The authors constantly emphasise the geometrical nature of the ideas they examine'. P.S. Alexandrov in the Preface to the Russian edition
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 216 mm
Breite: 140 mm
Dicke: 30 mm
Gewicht
ISBN-13
978-0-521-09422-1 (9780521094221)
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Schweitzer Klassifikation
General Introduction; Part I. Homology Theory of Polyhedra: 1. Background to Part I; 2. The Topology of Polyhedra; 3. Homology Theory of Simplicial Complex; 4. Chain Complexes; 5. The Contrahomology Ring for Polyhedra; 6. Abelian Groups and Homological Algebra; 7. The Fundamental Group and Covering Spaces; Part II. General Homology Theory; 8. Background to Part II; 9. Contrahomology and Maps; 10. Singular Homology Theory; 11. The Singular Contrahomology Ring; 12. Special Homology Theory and Homology Theory of Groups; Bibliography; Index.
