Algebraic Geometry

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 among the fields in arithmetic that gathers numerous exact domain names: Topology, Dynamical platforms, 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 e-book comprises fabric relationship from the origins of the speculation of foliations, from the unique works of C Ehresmann and G Reeb, up until smooth advancements. In an appropriate collection of issues we will hide fabric in a coherent means bringing the reader to the guts 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 fundamental features of the wealthy thought of foliations.

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