Dynamical Systems on 2- and 3-Manifolds (Developments in - download pdf or read online

By Viacheslav Z. Grines,Timur V. Medvedev,Olga V. Pochinka

ISBN-10: 3319448463

ISBN-13: 9783319448466

This ebook offers an advent to the topological type of soft structurally sturdy diffeomorphisms on closed orientable 2- and 3-manifolds.The topological type is without doubt one of the major difficulties of the speculation of dynamical structures and the consequences provided during this publication are generally for dynamical platforms enjoyable Smale's Axiom A. the most effects at the topological type of discrete dynamical structures are greatly scattered between many papers and surveys. This publication provides those effects fluidly, systematically, and for the 1st time in a single book. also, this booklet discusses the hot effects at the topological class of Axiom A diffeomorphisms targeting the nontrivial results of the dynamical structures on 2- and 3-manifolds. The classical tools and techniques that are thought of to be promising for the additional learn also are discussed.
The reader has to be conversant in the elemental options of the qualitative thought of dynamical platforms that are offered partly 1 for comfort. The e-book is available to bold undergraduates, graduates, and researchers in dynamical structures and coffee dimensional topology. This quantity includes 10 chapters; each one bankruptcy includes its personal set of references and a bit on extra analyzing. Proofs are awarded with the precise statements of the implications. In bankruptcy 10 the authors in brief kingdom the mandatory definitions and effects from algebra, geometry and topology. while declaring ancillary effects initially of every half, the authors discuss with different resources that are simply available.

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Dynamical Systems on 2- and 3-Manifolds (Developments in Mathematics) by Viacheslav Z. Grines,Timur V. Medvedev,Olga V. Pochinka

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