Download E-books Geometry, Dynamics and Topology of Foliations: A First Course PDF

By Bruno Scardua, Carlos Arnoldo Morales Rojas

The Geometric idea of Foliations is likely one of the fields in arithmetic that gathers numerous specific domain names: Topology, Dynamical platforms, Differential Topology and Geometry, between others. Its nice improvement has allowed a greater comprehension of numerous phenomena of mathematical and actual nature. Our booklet includes fabric relationship from the origins of the speculation of foliations, from the unique works of C Ehresmann and G Reeb, up until glossy advancements. In an appropriate selection of issues we can disguise fabric in a coherent approach bringing the reader to the center of modern leads to the sphere. a few theorems, these days thought of to be classical, just like the Reeb balance Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved within the textual content. the steadiness theorem of Thurston and the compact leaf theorem of Plante also are completely proved. however, those notes are introductory and canopy just a minor a part of the elemental elements of the wealthy idea of foliations.

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