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A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.
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This book is a clear exposition, with exercises, of basic ideas of algebraic topology: homology, homotopy groups, and cohomology rings. It is suitable for a two-semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic algebra.
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- VerlagSpringer
- Erscheinungsdatum1988
- ISBN 10 0387966781
- ISBN 13 9780387966786
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten458
- Kontakt zum HerstellerNicht verfügbar
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An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119)
Verlag:
Springer (edition First Edition), 1988
ISBN 10: 0387966781
ISBN 13: 9780387966786
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An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119)
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An Introduction to Algebraic Topology
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced. Bestandsnummer des Verkäufers 5912798
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An Introduction to Algebraic Topology (Graduate Texts in Mathematics 119)
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Zustand: Fine. Corrected 2nd printing (1993) 460 pp., hardcover, spine slightly faded, faint age-toning to endpapers else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Bestandsnummer des Verkäufers ZB1325306
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An Introduction to Algebraic Topology
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An Introduction to Algebraic Topology: 119 (Graduate Texts in Mathematics, 119)
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Hardback. Zustand: Fair. A readable copy of the book which may include some defects such as highlighting and notes. Cover and pages may be creased and show discolouration. Bestandsnummer des Verkäufers GOR014246116
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An Introduction to Algebraic Topology
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced. 456 pp. Englisch. Bestandsnummer des Verkäufers 9780387966786
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An Introduction to Algebraic Topology
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Springer New York, Springer New York Aug 1988, 1988
ISBN 10: 0387966781
ISBN 13: 9780387966786
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Buch. Zustand: Neu. Neuware -There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g. , most students know very little homological algebra); the second obstacle is that the basic defini tions have been so abstracted that their geometric or analytic origins have been obscured. I have tried to overcome these barriers. In the first instance, new definitions are introduced only when needed (e. g. , homology with coeffi cients and cohomology are deferred until after the Eilenberg-Steenrod axioms have been verified for the three homology theories we treat-singular, sim plicial, and cellular). Moreover, many exercises are given to help the reader assimilate material. In the second instance, important definitions are often accompanied by an informal discussion describing their origins (e. g. , winding numbers are discussed before computing 1tl (Sl), Green's theorem occurs before defining homology, and differential forms appear before introducing cohomology). We assume that the reader has had a first course in point-set topology, but we do discuss quotient spaces, path connectedness, and function spaces.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 456 pp. Englisch. Bestandsnummer des Verkäufers 9780387966786
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An Introduction to Algebraic Topology
Verlag:
Springer New York, Springer New York, 1988
ISBN 10: 0387966781
ISBN 13: 9780387966786
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Hardcover
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g. , most students know very little homological algebra); the second obstacle is that the basic defini tions have been so abstracted that their geometric or analytic origins have been obscured. I have tried to overcome these barriers. In the first instance, new definitions are introduced only when needed (e. g. , homology with coeffi cients and cohomology are deferred until after the Eilenberg-Steenrod axioms have been verified for the three homology theories we treat-singular, sim plicial, and cellular). Moreover, many exercises are given to help the reader assimilate material. In the second instance, important definitions are often accompanied by an informal discussion describing their origins (e. g. , winding numbers are discussed before computing 1tl (Sl), Green's theorem occurs before defining homology, and differential forms appear before introducing cohomology). We assume that the reader has had a first course in point-set topology, but we do discuss quotient spaces, path connectedness, and function spaces. Bestandsnummer des Verkäufers 9780387966786
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An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 119)
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