The Resource Automorphisms and equivalence relations in topological dynamics, David B. Ellis (Beloit College, Wisconsin), Robert Ellis (University of Minnesota)
Automorphisms and equivalence relations in topological dynamics, David B. Ellis (Beloit College, Wisconsin), Robert Ellis (University of Minnesota)
Resource Information
The item Automorphisms and equivalence relations in topological dynamics, David B. Ellis (Beloit College, Wisconsin), Robert Ellis (University of Minnesota) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Automorphisms and equivalence relations in topological dynamics, David B. Ellis (Beloit College, Wisconsin), Robert Ellis (University of Minnesota) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid and selfcontained book, leading to simpler proofs of classical results, as well as providing motivation for further study. Minimal flows on compact Hausdorff spaces are studied as icers on the universal minimal flow M. The group of the icer representing a minimal flow is defined as a subgroup of the automorphism group G of M, and icers are constructed explicitly as relative products using subgroups of G. Many classical results are then obtained by examining the structure of the icers on M, including a proof of the Furstenberg structure theorem for distal extensions. This book is designed as both a guide for graduate students, and a source of interesting new ideas for researchers.Provided by publisher
 Language
 eng
 Extent
 xiv, 268 pages
 Isbn
 9781107633223
 Label
 Automorphisms and equivalence relations in topological dynamics
 Title
 Automorphisms and equivalence relations in topological dynamics
 Statement of responsibility
 David B. Ellis (Beloit College, Wisconsin), Robert Ellis (University of Minnesota)
 Language
 eng
 Summary
 Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid and selfcontained book, leading to simpler proofs of classical results, as well as providing motivation for further study. Minimal flows on compact Hausdorff spaces are studied as icers on the universal minimal flow M. The group of the icer representing a minimal flow is defined as a subgroup of the automorphism group G of M, and icers are constructed explicitly as relative products using subgroups of G. Many classical results are then obtained by examining the structure of the icers on M, including a proof of the Furstenberg structure theorem for distal extensions. This book is designed as both a guide for graduate students, and a source of interesting new ideas for researchers.Provided by publisher
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1958
 http://library.link/vocab/creatorName
 Ellis, D.
 Dewey number
 512/.55
 Index
 index present
 LC call number
 QA611.5
 LC item number
 .E394 2014
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1926
 http://library.link/vocab/relatedWorkOrContributorName
 Ellis, Robert
 Series statement
 London Mathematical Society lecture note series
 Series volume
 412
 http://library.link/vocab/subjectName

 Topological dynamics
 Algebraic topology
 Automorphisms
 Algebraic topology
 Automorphisms
 Topological dynamics
 Label
 Automorphisms and equivalence relations in topological dynamics, David B. Ellis (Beloit College, Wisconsin), Robert Ellis (University of Minnesota)
 Bibliography note
 Includes bibliographical references (pages 264265) and index
 Carrier category
 volume
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type MARC source
 rdacontent
 Control code
 862962355
 Dimensions
 23 cm.
 Extent
 xiv, 268 pages
 Isbn
 9781107633223
 Isbn Type
 (paperback)
 Lccn
 2013043992
 Media category
 unmediated
 Media MARC source
 rdamedia
 System control number
 (OCoLC)862962355
 Label
 Automorphisms and equivalence relations in topological dynamics, David B. Ellis (Beloit College, Wisconsin), Robert Ellis (University of Minnesota)
 Bibliography note
 Includes bibliographical references (pages 264265) and index
 Carrier category
 volume
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type MARC source
 rdacontent
 Control code
 862962355
 Dimensions
 23 cm.
 Extent
 xiv, 268 pages
 Isbn
 9781107633223
 Isbn Type
 (paperback)
 Lccn
 2013043992
 Media category
 unmediated
 Media MARC source
 rdamedia
 System control number
 (OCoLC)862962355
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