David B. Ellis,Robert Ellis's Automorphisms and Equivalence Relations in Topological PDF

By David B. Ellis,Robert Ellis

targeting the position that automorphisms and equivalence kinfolk play within the algebraic concept of minimum units offers an unique remedy of a few key elements of summary topological dynamics. Such an method is gifted during this lucid and self-contained e-book, resulting in easier proofs of classical effects, in addition to offering motivation for extra learn. minimum flows on compact Hausdorff areas are studied as icers at the common minimum circulate M. the gang of the icer representing a minimum circulate is outlined as a subgroup of the automorphism team G of M, and icers are built explicitly as relative items utilizing subgroups of G. Many classical effects are then got by way of interpreting the constitution of the icers on M, together with an evidence of the Furstenberg constitution theorem for distal extensions. This booklet is designed as either a advisor for graduate scholars, and a resource of fascinating new principles for researchers.

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Automorphisms and Equivalence Relations in Topological Dynamics (London Mathematical Society Lecture Note Series) by David B. Ellis,Robert Ellis

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