Topology of Foliations: An Introduction

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Topology of Foliations: An Introduction By Itiro Tamura
Publisher: A M S 1992 | 208 Pages | ISBN: 0821845438 | DJVU | 2 MB

This main division provides historical background and a complete overview of the qualitative postulate of foliations and differential dynamical systems. Senior mathematics majors and honor with a degree students with background in multivariate calc>ulus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introductory treatise. Upon finishing the book, readers will be prepared to take up investigation in this area. Readers will appreciate the book for its exceedingly visual presentation of examples in low dimensions. The author focuses individually on foliations with compact leaves, covering all the important basic results. Specific topics covered comprise: dynamical systems on the torus and the three-sphere, local and global steadiness theorems for foliations, the existence of compact leaves on three-spheres, and schistose cobordisms on three-spheres. Also included is a short introduction to the scheme of differentiable manifolds.

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