Embeddings and immersions Book

This work covers fundamental techniques in the theory of C (alt 133) embeddings and C (alt 133) - 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 (alt 133)- embeddings and C (alt 133) manifolds. The Smale-Hirsch theorem is presented as a generalization of the classification of C (alt 133) embeddings by isotopy and is extended by Gromov's convex integration theory. Finally, as an application of Gromov's work, Adachi introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is Adachi's work with Landweber on the integrability of almost complex structures on open manifolds.