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Potential theory (Mathematics) --- Topological dynamics --- Topological spaces
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Entropy (Information theory) --- Mappings (Mathematics) --- Topological dynamics
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Differential geometry. Global analysis --- 515.12 --- General topology --- 515.12 General topology --- Topological dynamics. --- Topological dynamics
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This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments. This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book. Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.
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This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments. This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of genera
Differentiable dynamical systems. --- Topological dynamics. --- Dynamics, Topological --- Differentiable dynamical systems --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics
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51 --- Mathematics --- 51 Mathematics --- Dynamique différentiable --- Dynamique différentiable --- Theorie ergodique --- Topological dynamics
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Functions of real variables. --- Mappings (Mathematics) --- Topological dynamics. --- Mappings (Mathematics). --- Topology --- 517 --- Analysis --- 517 Analysis
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This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps). Various classes of minimal flows (equicontinuous, distal, point distal) are intensively studied, and a general structure theorem is obtained. Another theme is the ``universal'' approach - entire classes of minimal flows are studied, rather than flows in isolation. This leads to the consideration of disjointness of flows,
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Semigroups. --- Topological dynamics. --- Dynamics, Topological --- Differentiable dynamical systems --- Group theory --- Dinàmica topològica --- Semigrups
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