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Decompositions of Manifolds
 
Robert J. Daverman University of Tennessee, Knoxville, TN
Decompositions of Manifolds
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-4372-7
Product Code:  CHEL/362.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-3119-8
Product Code:  CHEL/362.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Hardcover ISBN:  978-0-8218-4372-7
eBook: ISBN:  978-1-4704-3119-8
Product Code:  CHEL/362.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $120.60 $91.35
Decompositions of Manifolds
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Decompositions of Manifolds
Robert J. Daverman University of Tennessee, Knoxville, TN
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-4372-7
Product Code:  CHEL/362.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-3119-8
Product Code:  CHEL/362.H.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Hardcover ISBN:  978-0-8218-4372-7
eBook ISBN:  978-1-4704-3119-8
Product Code:  CHEL/362.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $120.60 $91.35
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 3621986; 317 pp
    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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3621986; 317 pp
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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