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Download E-books Embeddings and Immersions (Translations of Mathematical Monographs Reprint) PDF

By Masahisa Adachi

This ebook covers basic concepts within the conception of C-imbeddings and C-immersions, emphasizing transparent intuitive figuring out and containing many figures and diagrams. Adachi starts off with an advent to the paintings of Whitney and of Haefliger on C-imbeddings and C-manifolds. The Smale-Hirsch theorem is gifted as a generalization of the type of C-imbeddings through isotopy and is prolonged via Gromov's paintings at the topic, together with Gromov's convex integration conception. ultimately, as an software of Gromov's paintings, the writer introduces Haefliger's type theorem of foliations on open manifolds. additionally defined this is the Adachi's paintings with Landweber at the integrability of virtually complicated constructions on open manifolds. This ebook will be an outstanding textual content for upper-division undergraduate or graduate classes.

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