000 02808nam a22004695i 4500
001 978-1-4614-1797-2
003 DE-He213
005 20140220083243.0
007 cr nn 008mamaa
008 111104s2012 xxu| s |||| 0|eng d
020 _a9781461417972
_9978-1-4614-1797-2
024 7 _a10.1007/978-1-4614-1797-2
_2doi
050 4 _aQA611-614.97
072 7 _aPBP
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514
_223
100 1 _aIngram, W.T.
_eauthor.
245 1 0 _aInverse Limits
_h[electronic resource] :
_bFrom Continua to Chaos /
_cby W.T. Ingram, William S. Mahavier.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aXVI, 220 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aDevelopments in Mathematics,
_x1389-2177 ;
_v25
505 0 _aInverse Limits on Intervals -- Inverse Limits in a General Setting -- Inverse Limits in Continuum Theory -- Brown’s Approximation Theorem -- Appendix: An Introduction to the Hilbert Cube -- Bibliography -- Index.
520 _aInverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also can turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introductory study of inverse limits on [0,1] before moving to a general treatment of the subject. Special topics in continuum theory complete the book. Although it is not a book on dynamics, the influence of dynamics can be seen throughout; for instance, it includes studies of inverse limits with maps from families of maps that are of interest to dynamicists such as the logistic and the tent families.   This book will serve as a useful reference to graduate students and researchers in continuum theory and dynamical systems. Researchers working in applied areas who are discovering inverse limits in their work will also benefit from this book.
650 0 _aMathematics.
650 0 _aDifferentiable dynamical systems.
650 0 _aTopology.
650 1 4 _aMathematics.
650 2 4 _aTopology.
650 2 4 _aDynamical Systems and Ergodic Theory.
700 1 _aMahavier, William S.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461417965
830 0 _aDevelopments in Mathematics,
_x1389-2177 ;
_v25
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1797-2
912 _aZDB-2-SMA
999 _c101134
_d101134