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Embeddings and Immersions
 
Embeddings and Immersions
Softcover ISBN:  978-0-8218-9164-3
Product Code:  MMONO/124.S
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4532-4
Product Code:  MMONO/124.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Softcover ISBN:  978-0-8218-9164-3
eBook: ISBN:  978-1-4704-4532-4
Product Code:  MMONO/124.S.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Embeddings and Immersions
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Embeddings and Immersions
Softcover ISBN:  978-0-8218-9164-3
Product Code:  MMONO/124.S
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4532-4
Product Code:  MMONO/124.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Softcover ISBN:  978-0-8218-9164-3
eBook ISBN:  978-1-4704-4532-4
Product Code:  MMONO/124.S.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1241993; 183 pp
    MSC: Primary 57; Secondary 58;

    This book covers fundamental techniques in the theory of \(C^{\infty }\)-imbeddings and \(C^{\infty }\)-immersions, emphasizing clear intuitive understanding and containing many figures and diagrams. Adachi starts with an introduction to the work of Whitney and of Haefliger on \(C^{\infty }\)-imbeddings and \(C^{\infty }\)-manifolds. The Smale-Hirsch theorem is presented as a generalization of the classification of \(C^{\infty }\)-imbeddings by isotopy and is extended by Gromov's work on the subject, including Gromov's convex integration theory. Finally, as an application of Gromov's work, the author introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is the Adachi's work with Landweber on the integrability of almost complex structures on open manifolds. This book would be an excellent text for upper-division undergraduate or graduate courses.

    Readership

    Research mathematicians and graduate students.

  • Table of Contents
     
     
    • Chapters
    • Chapter 0. Regular closed curves in the plane
    • Chapter I. $C^r$ manifolds, $C^r$ maps, and fiber bundles
    • Chapter II. Embeddings of $C^\infty $ manifolds
    • Chapter III. Immersions of $C^\infty $ manifolds
    • Chapter IV. The Gromov convex integration theory
    • Chapter V. Foliations of open manifolds
    • Chapter VI. Complex structures on open manifolds
    • Chapter VII. Embeddings of $C^\infty $ manifolds (continued)
  • 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: 1241993; 183 pp
MSC: Primary 57; Secondary 58;

This book covers fundamental techniques in the theory of \(C^{\infty }\)-imbeddings and \(C^{\infty }\)-immersions, emphasizing clear intuitive understanding and containing many figures and diagrams. Adachi starts with an introduction to the work of Whitney and of Haefliger on \(C^{\infty }\)-imbeddings and \(C^{\infty }\)-manifolds. The Smale-Hirsch theorem is presented as a generalization of the classification of \(C^{\infty }\)-imbeddings by isotopy and is extended by Gromov's work on the subject, including Gromov's convex integration theory. Finally, as an application of Gromov's work, the author introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is the Adachi's work with Landweber on the integrability of almost complex structures on open manifolds. This book would be an excellent text for upper-division undergraduate or graduate courses.

Readership

Research mathematicians and graduate students.

  • Chapters
  • Chapter 0. Regular closed curves in the plane
  • Chapter I. $C^r$ manifolds, $C^r$ maps, and fiber bundles
  • Chapter II. Embeddings of $C^\infty $ manifolds
  • Chapter III. Immersions of $C^\infty $ manifolds
  • Chapter IV. The Gromov convex integration theory
  • Chapter V. Foliations of open manifolds
  • Chapter VI. Complex structures on open manifolds
  • Chapter VII. Embeddings of $C^\infty $ manifolds (continued)
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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