Topology of Foliations: An Introduction (Translations of Mathematical Monographs, 97) - Softcover

Itiro Tamura

9780821842003: Topology of Foliations: An Introduction (Translations of Mathematical Monographs, 97)

Softcover

ISBN 10: 0821842005 ISBN 13: 9780821842003

Publisher: American Mathematical Society, 2006

This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds.

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Language Notes:

Text: English (translation)
Original Language: Japanese

Review:

The book ... remains an excellent introduction to foliation theory which leads very quickly to current areas of research. -- Mathematical Reviews

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