Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Secondary Cohomology Operations
 
John R. Harper University of Rochester, Rochester, NY

Also Available in Softcover GSM/49.S

Secondary Cohomology Operations
Hardcover ISBN:  978-0-8218-3198-4
Product Code:  GSM/49
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Sale Price: $87.75
eBook ISBN:  978-1-4704-2098-7
Product Code:  GSM/49.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Sale Price: $55.25
Hardcover ISBN:  978-0-8218-3198-4
eBook: ISBN:  978-1-4704-2098-7
Product Code:  GSM/49.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
Sale Price: $143.00 $115.38
Secondary Cohomology Operations
Click above image for expanded view
Secondary Cohomology Operations
John R. Harper University of Rochester, Rochester, NY

Also Available in Softcover GSM/49.S

Hardcover ISBN:  978-0-8218-3198-4
Product Code:  GSM/49
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Sale Price: $87.75
eBook ISBN:  978-1-4704-2098-7
Product Code:  GSM/49.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Sale Price: $55.25
Hardcover ISBN:  978-0-8218-3198-4
eBook ISBN:  978-1-4704-2098-7
Product Code:  GSM/49.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
Sale Price: $143.00 $115.38
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 492002; 268 pp
    MSC: Primary 55;

    Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are few books on the subject. The AMS fills that gap with the publication of the present volume.

    The author's main purpose in this book is to develop the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory. Among many applications considered are the Hopf invariant one theorem (for all primes \(p\), including \(p = 2\)), Browder's theorem on higher Bockstein operations, and cohomology theory of Massey-Peterson fibrations.

    Numerous examples and exercises help readers to gain a working knowledge of the theory. A summary of more advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations.

    The book is geared toward graduate students and research mathematicians interested in algebraic topology and can be used for self-study or as a textbook for an advanced course on the topic. It is available in both hardcover and softcover editions.

    Readership

    Graduate students and research mathematicians interested in algebraic topology.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Review of primary operations
    • Chapter 2. Segue to secondary operations
    • Chapter 3. Fundamental constructions
    • Chapter 4. Secondary cohomology operations
    • Chapter 5. Calculations with secondary operations
    • Chapter 6. The Hopf invariant
    • Chapter 7. The cohomology structure of universal examples
  • Reviews
     
     
    • The book contains many examples and exercises and new material not published elsewhere. This book can be warmly recommended to readers interested in homotopy theory.

      Zentralblatt MATH
    • In all, this book gives an excellent introduction ... to a technical, but extremely important field ... This book is highly recommended for both beginners and experts.

      Mathematical Reviews
  • 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: 492002; 268 pp
MSC: Primary 55;

Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are few books on the subject. The AMS fills that gap with the publication of the present volume.

The author's main purpose in this book is to develop the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory. Among many applications considered are the Hopf invariant one theorem (for all primes \(p\), including \(p = 2\)), Browder's theorem on higher Bockstein operations, and cohomology theory of Massey-Peterson fibrations.

Numerous examples and exercises help readers to gain a working knowledge of the theory. A summary of more advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations.

The book is geared toward graduate students and research mathematicians interested in algebraic topology and can be used for self-study or as a textbook for an advanced course on the topic. It is available in both hardcover and softcover editions.

Readership

Graduate students and research mathematicians interested in algebraic topology.

  • Chapters
  • Chapter 1. Review of primary operations
  • Chapter 2. Segue to secondary operations
  • Chapter 3. Fundamental constructions
  • Chapter 4. Secondary cohomology operations
  • Chapter 5. Calculations with secondary operations
  • Chapter 6. The Hopf invariant
  • Chapter 7. The cohomology structure of universal examples
  • The book contains many examples and exercises and new material not published elsewhere. This book can be warmly recommended to readers interested in homotopy theory.

    Zentralblatt MATH
  • In all, this book gives an excellent introduction ... to a technical, but extremely important field ... This book is highly recommended for both beginners and experts.

    Mathematical Reviews
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
Please select which format for which you are requesting permissions.