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Classics in Mathematics
cover

Algebraic Topology - Homotopy and Homology

Autoren: Switzer, Robert M.

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  • ISBN 978-3-642-61923-6
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  • ISBN 978-3-540-42750-6
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Über dieses Buch
Über den Autor

Biography of Robert M. Switzer

Robert M. Switzer was born in Tennessee (USA) in 1940.

After majoring in mathematics at Harvard College, he completed his PhD at Stanford University in 1965. He spent 5 years as lecturer at the University of Manchester, England, and then moved to Goettingen, Germany, where he has been Professor of Mathematics since 1973. In the early 1980s his research concentrated on obstruction theory in connection with holomorphic bundles on projective spaces. 

In 1984 he switched his attention to Computer Science and has been teaching and working in that field ever since. 

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From the reviews:

"This book contains much impressive mathematics, namely the achievements by algebraic topologists in obtaining extensive information on the stable homotopy groups of spheres, and the computation of various cobordism groups. It is a long book, and for the major part a very advanced book. ... (It is) suitable for specialists, or for those who already know what algebraic topology is for, and want a guide to the principal methods of stable homotopy theory."
R. Brown in Bulletin of the London Mathematical Society, 1980

"In the more than twenty five years since its first appearance, the book has met with favorable response, both in its use as a text and as reference. It is a good course which leads the reader systematically to the point at which he can begin to tackle problems in algebraic topology. … This book remains one of the best sources for the material which every young algebraic topologist should know." (Corina Mohorianu, Zentralblatt MATH, Vol. 1003 (3), 2003)


 

Inhaltsverzeichnis (21 Kapitel)

Inhaltsverzeichnis (21 Kapitel)
  • Some Facts from General Topology

    Seiten 1-5

    Switzer, Robert M.

  • Categories, Functors and Natural Transformations

    Seiten 6-10

    Switzer, Robert M.

  • Homotopy Sets and Groups

    Seiten 11-35

    Switzer, Robert M.

  • Properties of the Homotopy Groups

    Seiten 36-51

    Switzer, Robert M.

  • Fibrations

    Seiten 52-63

    Switzer, Robert M.

Dieses Buch kaufen

eBook 44,02 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-642-61923-6
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Softcover 58,84 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-540-42750-6
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Algebraic Topology - Homotopy and Homology
Autoren
Titel der Buchreihe
Classics in Mathematics
Copyright
2002
Verlag
Springer-Verlag Berlin Heidelberg
Copyright Inhaber
Springer-Verlag GmbH Germany
eBook ISBN
978-3-642-61923-6
DOI
10.1007/978-3-642-61923-6
Softcover ISBN
978-3-540-42750-6
Buchreihen ISSN
1431-0821
Auflage
1
Seitenzahl
XIII, 526
Zusätzliche Informationen
Reprint of the 1975 Edition (Grundlehren der mathematischen Wissenschaften, Vol. 212)
Themen