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OverviewThis book covers fundamental techniques in the theory of $C^{\infty }$-imbeddings and $C^{\infty }$-immersions, emphasising 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 generalisation 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. Full Product DetailsAuthor: Masahisa AdachiPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 124 Weight: 0.370kg ISBN: 9780821891643ISBN 10: 0821891642 Pages: 183 Publication Date: 30 November 2012 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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