000			03332nam a22004933i 4500
001			EBC3114171
003			MiAaPQ
005			20240729124602.0
006			m o d |
007			cr cnu||||||||
008			240724s2013 xx o ||||0 eng d
020			_a9781470410049 _q(electronic bk.)
020			_z9780821884881
035			_a(MiAaPQ)EBC3114171
035			_a(Au-PeEL)EBL3114171
035			_a(CaPaEBR)ebr11039790
035			_a(OCoLC)922981839
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA329.9 -- .F594 2012eb
082	0		_a515/.39
100	1		_aBlokh, Alexander M.
245	1	0	_aFixed Point Theorems for Plane Continua with Applications.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2013.
264		4	_c©2012.
300			_a1 online resource (117 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.224
505	0		_aIntro -- Contents -- List of Figures -- Preface -- Chapter 1. Introduction -- Part 1 . Basic Theory -- Chapter 2. Preliminaries and outline of Part 1 -- 2.1. Index -- 2.2. Variation -- 2.3. Classes of maps -- 2.4. Partitioning domains -- Chapter 3. Tools -- 3.1. Stability of Index -- 3.2. Index and variation for finite partitions -- 3.3. Locating arcs of negative variation -- 3.4. Crosscuts and bumping arcs -- 3.5. Index and Variation for Carathéodory Loops -- 3.6. Prime Ends -- 3.7. Oriented maps -- 3.8. Induced maps of prime ends -- Chapter 4. Partitions of domains in the sphere -- 4.1. Kulkarni-Pinkall Partitions -- 4.2. Hyperbolic foliation of simply connected domains -- 4.3. Schoenflies Theorem -- 4.4. Prime ends -- Part 2 . Applications of Basic Theory -- Chapter 5. Description of main results of Part 2 -- 5.1. Outchannels -- 5.2. Fixed points in invariant continua -- 5.3. Fixed points in non-invariant continua -the case of dendrites -- 5.4. Fixed points in non-invariant continua -the planar case -- 5.5. The polynomial case -- Chapter 6. Outchannels and their properties -- 6.1. Outchannels -- 6.2. Uniqueness of the Outchannel -- Chapter 7. Fixed points -- 7.1. Fixed points in invariant continua -- 7.2. Dendrites -- 7.3. Non-invariant continua and positively oriented maps of the plane -- 7.4. Maps with isolated fixed points -- 7.5. Applications to complex dynamics -- Bibliography -- Index.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aFixed point theory.
655		4	_aElectronic books.
700	1		_aFokkink, Robbert J.
700	1		_aMayer, John C.
700	1		_aMayer, John C.
700	1		_aOversteegen, Lex G.
776	0	8	_iPrint version: _aBlokh, Alexander M. _tFixed Point Theorems for Plane Continua with Applications _dProvidence : American Mathematical Society,c2013 _z9780821884881
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114171 _zClick to View
999			_c69702 _d69702