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Embeddings and Immersions PDF

190 Pages·1993·37.498 MB·English
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by Masahisa Adachi| 1993| 190 pages| 37.498| English

About Embeddings and Immersions

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.

Detailed Information

Author:Masahisa Adachi
Publication Year:1993
ISBN:821846124
Pages:190
Language:English
File Size:37.498
Format:PDF
Price:FREE
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