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Algebraic Topology
Tammo tom Dieck (Gebundene Ausgabe, Englisch)
★★★★★
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Beschreibung
This book is written as a textbook on algebraic topology. The first part covers the material for two introductory courses about homotopy and homology. The second part presents more advanced applications and concepts (duality, characteristic classes, homotopy groups of spheres, bordism). The author recommends to start an introductory course with homotopy theory. For this purpose, classical results… are presented with new elementary proofs. Alternatively, one could start more traditionally with singular and axiomatic homology. Additional chapters are devoted to the geometry of manifolds, cell complexes and fibre bundles. A special feature is the rich supply of nearly 500 exercises and problems. Several sections include topics which have not appeared before in textbooks as well as simplified proofs for some important results.
Prerequisites are standard point set topology (as recalled in the first chapter), elementary algebraic notions (modules, tensor product), and some terminology from category theory. The aim of the book is to introduce advanced undergraduate and graduate (masters) students to basic tools, concepts and results of algebraic topology. Sufficient background material from geometry and algebra is included. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.09.2008
Sprache
Englisch
EAN
9783037190487, 9783037190487
Herausgeber
EMS Press
Serien- oder Bandtitel
EMS Textbooks in Mathematics
Sonderedition
Nein
Autor
Tammo tom Dieck
Seitenanzahl
567
Auflage
1
Einbandart
Gebundene Ausgabe
Schlagwörter
cofibrations, smooth, fibrations, cell complexes, homotopy groups, Covering spaces, vector bundles
Thema-Inhalt
PBP - Topologie
Höhe
235 mm
Breite
16.5 cm
-.-
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