Topology with applications topological spaces via near and far

The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spac...

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Hlavní autori: Naimpally, Somashekhar A, Peters, James F
Médium: E-kniha Kniha
Jazyk:English
Vydavateľské údaje: New Jersey World Scientific Publishing Co. Pte. Ltd 2013
World Scientific
WORLD SCIENTIFIC
WSPC
Predmet:
Proximity spaces
Proximity spaces > Textbooks
Pure Mathematics
Robotics (Machine Vision, Pattern Recognition)
Topology
Topology > Textbooks
Remoteness
Proximity
Applications
Far
Close
Topology
Near
Set Theory
Nearness
ISBN:9789814407656, 9814407658
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Obsah:
  • Topology with applications : topological spaces via near and far -- Foreword -- Preface -- Chapter 1: Basic Framework -- Chapter 2: What is Topology? -- Chapter 3: Symmetric Proximity -- Chapter 4: Continuity and Proximal Continuity -- Chapter 5: Separation Axioms -- Chapter 6: Uniform Spaces, Filters and Nets -- Chapter 7: Compactness and Higher Separation Axioms -- Chapter 8: Initial and Final Structures, Embedding -- Chapter 9: Grills, Clusters, Bunches and Proximal Wallman Compactification -- Chapter 10: Extensions of Continuous Functions: Taimanov Theorem -- Chapter 11: Metrisation -- Chapter 12: Function Space Topologies -- Chapter 13: Hyperspace Topologies -- Chapter 14: Selected Topics: Uniformity and Metrisation -- Notes and Further Readings -- Bibliography -- Subject Index.