Embeddings and Immersions

Masahisa Adachi (Autor)

Buch | Softcover

183 Seiten

2012
American Mathematical Society (Verlag)
978-0-8218-9164-3 (ISBN)

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This 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.

Erscheint lt. Verlag	30.11.2012
Reihe/Serie	Translations of Mathematical Monographs
Verlagsort	Providence
Sprache	englisch
Gewicht	370 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-9164-2 / 0821891642
ISBN-13	978-0-8218-9164-3 / 9780821891643
Zustand	Neuware