000 02418nam a22003858i 4500
001 CR9781107416253
003 UkCbUP
005 20200124160237.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130725s2014||||enk o ||1 0|eng|d
020 _a9781107416253 (ebook)
020 _z9781107633223 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA611.5
_b.E394 2014
082 0 0 _a512/.55
_223
100 1 _aEllis, D.
_q(David),
_d1958-
_eauthor.
245 1 0 _aAutomorphisms and equivalence relations in topological dynamics /
_cDavid B. Ellis, Beloit College, Wisconsin, Robert Ellis, University of Minnesota.
246 3 _aAutomorphisms & Equivalence Relations in Topological Dynamics
264 1 _aCambridge :
_bCambridge University Press,
_c2014.
300 _a1 online resource (xiv, 268 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v412
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aFocusing 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 self-contained 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.
650 0 _aTopological dynamics.
650 0 _aAlgebraic topology.
650 0 _aAutomorphisms.
700 1 _aEllis, Robert,
_d1926-
_eauthor.
776 0 8 _iPrint version:
_z9781107633223
830 0 _aLondon Mathematical Society lecture note series ;
_v412.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107416253
999 _c518197
_d518195