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008 240724s2003 xx o ||||0 eng d
020 _a9781470403812
_q(electronic bk.)
020 _z9780821833384
035 _a(MiAaPQ)EBC3114379
035 _a(Au-PeEL)EBL3114379
035 _a(CaPaEBR)ebr11041157
035 _a(OCoLC)922981950
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQA613.7 -- .A35 2003eb
082 0 _a510 s;514
100 1 _aEthan, Akin.
245 1 0 _aDynamics of Topologically Generic Homeomorphisms.
250 _a1st ed.
264 1 _aProvidence :
_bAmerican Mathematical Society,
_c2003.
264 4 _c©2003.
300 _a1 online resource (146 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMemoirs of the American Mathematical Society ;
_vv.164
505 0 _aIntro -- Contents -- Introduction -- 0.1. Overview -- 0.2. Description of results -- 0.3. Brief remarks about techniques -- 0.4. Comparison with the smooth case -- 0.5. Standing notation -- 0.6. Road map -- 0.7. Comments -- Chapter 1. Attractors and Chain Recurrence -- 1.1. Chain recurrence -- 1.2. Attractors -- 1.3. Attractor-repellor pairs -- 1.4. Initial and terminal chain components -- 1.5. The space(s) of chain components -- 1.6. Summary -- Chapter 2. Periodic Decompositions and Adding Machines -- 2.1. Periodic decompositions -- 2.2. The sets II∞ and II[sub(∞,&amp -- #8734)] -- -- 2.3. Adding machines -- 2.4. Decompositions of U type -- 2.5. Periodicity conditions -- Chapter 3. Semicontinuity and Homogeneity -- 3.1. Semicontinuity -- 3.2. Prolongation -- 3.3. The automorphism group -- 3.4. Homogeneity conditions -- 3.5. Showing Ω(f) = C(f) -- Chapter 4. Crushing Arguments -- 4.1. Sponges -- 4.2. Crushing -- Chapter 5. Topological Horseshoes -- 5.1. Connected successions of subsets -- 5.2. Topological horseshoes -- 5.3. Perturbing to a horseshoe -- Chapter 6. Generic Homeomorphisms -- 6.1. The classes H[sub(s)] and H[sub(1,s)] -- 6.2. The class H[sub(3,s)] -- 6.3. Dynamic isolation -- 6.4. Attractor boundaries are quasi- attractors -- 6.5. Shift extensions and the class H[sub(4)] -- Chapter 7. Almost Equicontinuity -- 7.1. Chain continuity -- Chapter 8. Cantor Sets -- 8.1. Aperiodicity and the class H[sub(5)] -- 8.2. The class H[sub(6)] -- 8.3. Rohlin property -- 8.4. The class H[sub(3,s)] -- Chapter 9. The Circle -- 9.1. Background -- 9.2. The class H[sub(1)] on S[sup(1)] -- 9.3. Relative Rohlin property -- Chapter 10. Crushing the Chain Recurrent Set -- Chapter 11. Generic Homeomorphisms on Manifolds -- 11.1. The class H[sub(8)] -- 11.2. The class H[sub(man )] -- 11.3. Anosov homeomorphisms -- Chapter 12. Generic Mappings on Manifolds.
505 8 _aBibliography -- 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 _aHomeomorphisms.
650 0 _aTopological dynamics.
650 0 _aMetric spaces.
655 4 _aElectronic books.
700 1 _aHurley, Mike.
700 1 _aKennedy, Judy A.
776 0 8 _iPrint version:
_aEthan, Akin
_tDynamics of Topologically Generic Homeomorphisms
_dProvidence : American Mathematical Society,c2003
_z9780821833384
797 2 _aProQuest (Firm)
830 0 _aMemoirs of the American Mathematical Society
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114379
_zClick to View
999 _c69874
_d69874