![]() Wicks (Author) See all formats and editions Paperback 15.38 - 33.00 3 Used from 15.38 8 New from 16. We also show the implications our results have for dynamics on continua. Wicks Fractals and Hyperspaces (Lecture Notes in Mathematics, 1492) 1991st Edition by Keith R. From our main theorem we derive an ε-chain version of Furstenberg's celebrated 2 implies n Theorem. Fractals and Hyperspaces (Lecture Notes in Mathematics 1492) (Paperback). These amongst others include, chain transitivity, chain (weakly) mixing, chain recurrence, exactness by chains. Fractals and Hyperspaces (Lecture Notes in Mathematics 1492) By Keith R. Jetzt online bestellen Heimlieferung oder in Filiale: Fractals and Hyperspaces von Keith R. ![]() We show how some important dynamical properties transfer across induced systems. ![]() We also show the implications our results have for dynamics on continua.ĪB - Given a non-empty compact metric space X and a continuous function f: X → X, we study the dynamics of the induced maps on the hyperspace of non-empty compact subsets of X and on various other invariant subspaces thereof, in particular symmetric products. These amongst others include, chain transitivity, chain (weakly) mixing, chain recurrence, exactness by chains. Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures. Read this book using Google Play Books app on your PC, android, iOS devices. These ideas have considerable scope for further development, and a list of problems and lines of research is included.N2 - Given a non-empty compact metric space X and a continuous function f: X → X, we study the dynamics of the induced maps on the hyperspace of non-empty compact subsets of X and on various other invariant subspaces thereof, in particular symmetric products. Fractals and Hyperspaces - Ebook written by Keith R. This leads to new, elegant concepts (defined purely topologically) of self-similarity and fractality: in particular, the author shows that many invariant sets are "visually fractal", i.e. The last and most original part of the book introduces the notion of a "view" as part of a framework for studying the structure of sets within a given space. Hutchinson's invariant sets (sets composed of smaller images of themselves) is developed, with a study of when such a set is tiled by its images and a classification of many invariant sets as either regular or residual. A major feature is that nonstandard analysis is used to obtain new proofs of some known results much more slickly than before. 10.1007/BFb0089156 Fractals and hyperspaces Keith R Wicks 31 December 1990 'Springer Science and Business Media LLC' Abstract Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures. The first part of the book develops certain hyperspace theory concerning the Hausdorff metric and the Vietoris topology, as a foundation for what follows on self-similarity and fractality. Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures.
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