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

By Bruno Scardua, Carlos Arnoldo Morales Rojas

The Geometric conception of Foliations is among the fields in arithmetic that gathers a number of targeted domain names: Topology, Dynamical structures, Differential Topology and Geometry, between others. Its nice improvement has allowed a greater comprehension of a number of phenomena of mathematical and actual nature. Our booklet includes fabric courting from the origins of the speculation of foliations, from the unique works of C Ehresmann and G Reeb, up until eventually smooth advancements. In an appropriate selection of themes we will conceal fabric in a coherent method bringing the reader to the center of modern ends up in the sector. 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 features of the wealthy thought of foliations.

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