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

By David B. Ellis,Robert Ellis

ISBN-10: 1107633222

ISBN-13: 9781107633223

concentrating on the position that automorphisms and equivalence family members play within the algebraic thought of minimum units presents an unique remedy of a few key facets of summary topological dynamics. Such an technique is gifted during this lucid and self-contained booklet, resulting in less complicated 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 stream is outlined as a subgroup of the automorphism crew G of M, and icers are built explicitly as relative items utilizing subgroups of G. Many classical effects are then bought by means of studying the constitution of the icers on M, together with an evidence of the Furstenberg constitution theorem for distal extensions. This e-book 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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