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Decompositions of Manifolds
 
Robert J. Daverman University of Tennessee, Knoxville, TN
Front Cover for Decompositions of Manifolds
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Available Formats:
Hardcover ISBN: 978-0-8218-4372-7
Product Code: CHEL/362.H
317 pp 
List Price: $55.00
MAA Member Price: $49.50
AMS Member Price: $49.50
Electronic ISBN: 978-1-4704-3119-8
Product Code: CHEL/362.H.E
317 pp 
List Price: $51.00
MAA Member Price: $45.90
AMS Member Price: $45.90
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $82.50
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Front Cover for Decompositions of Manifolds
Click above image for expanded view
Decompositions of Manifolds
Robert J. Daverman University of Tennessee, Knoxville, TN
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Available Formats:
Hardcover ISBN:  978-0-8218-4372-7
Product Code:  CHEL/362.H
317 pp 
List Price: $55.00
MAA Member Price: $49.50
AMS Member Price: $49.50
Electronic ISBN:  978-1-4704-3119-8
Product Code:  CHEL/362.H.E
317 pp 
List Price: $51.00
MAA Member Price: $45.90
AMS Member Price: $45.90
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $82.50
MAA Member Price: $74.25
AMS Member Price: $74.25
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 3621986
    MSC: Primary 57; Secondary 54;

    Decomposition theory studies decompositions, or partitions, of manifolds into simple pieces, usually cell-like sets. Since its inception in 1929, the subject has become an important tool in geometric topology. The main goal of the book is to help students interested in geometric topology to bridge the gap between entry-level graduate courses and research at the frontier as well as to demonstrate interrelations of decomposition theory with other parts of geometric topology. With numerous exercises and problems, many of them quite challenging, the book continues to be strongly recommended to everyone who is interested in this subject. The book also contains an extensive bibliography and a useful index of key words, so it can also serve as a reference to a specialist.

    Readership

    Graduate students and research mathematicians interested in geometric topology.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Preliminaries
    • The shrinkability criterion
    • Cell-like decompositions of absolute neighborhood retracts
    • The cell-like approximation theorem
    • Shrinkable decompositions
    • Nonshrinkable decompositions
    • Applications to manifolds
  • Additional Material
     
     
  • Reviews
     
     
    • Throughout the text, at the end of paragraphes, there are exercises, problems and (open) questions, ranging from simple to quite challenging. This is the second edition of an excellent textbook, a contribution to the mathematical literature concerning decompositions of manifolds, a text deserving further individual pursuit and a substantial background for successfully doing research in this area.

      Zentralblatt MATH
  • Request Review Copy
  • Get Permissions
Volume: 3621986
MSC: Primary 57; Secondary 54;

Decomposition theory studies decompositions, or partitions, of manifolds into simple pieces, usually cell-like sets. Since its inception in 1929, the subject has become an important tool in geometric topology. The main goal of the book is to help students interested in geometric topology to bridge the gap between entry-level graduate courses and research at the frontier as well as to demonstrate interrelations of decomposition theory with other parts of geometric topology. With numerous exercises and problems, many of them quite challenging, the book continues to be strongly recommended to everyone who is interested in this subject. The book also contains an extensive bibliography and a useful index of key words, so it can also serve as a reference to a specialist.

Readership

Graduate students and research mathematicians interested in geometric topology.

  • Chapters
  • Introduction
  • Preliminaries
  • The shrinkability criterion
  • Cell-like decompositions of absolute neighborhood retracts
  • The cell-like approximation theorem
  • Shrinkable decompositions
  • Nonshrinkable decompositions
  • Applications to manifolds
  • Throughout the text, at the end of paragraphes, there are exercises, problems and (open) questions, ranging from simple to quite challenging. This is the second edition of an excellent textbook, a contribution to the mathematical literature concerning decompositions of manifolds, a text deserving further individual pursuit and a substantial background for successfully doing research in this area.

    Zentralblatt MATH
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