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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...
| Main Authors: | , |
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| Format: | Printed Book |
| Jezik: | English |
| Teme: |
| LEADER | 02867cam a22003137i 4500 | ||
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| 042 | |a lccopycat | ||
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| 084 | |2 msc |a 54 | ||
| 100 | 1 | |a Naimpally, S. A., | |
| 245 | 1 | 0 | |a Topology with applications : |b topological spaces via near and far / |c Somashekhar A. Naimpally, Lakehead University, Canada, James F. Peters, University of Manitoba, Canada. |
| 300 | |a xv, 277 pages : |b illustrations (some color) ; |c 24 cm | ||
| 504 | |a Includes bibliographical references (pages 255-266) and index. | ||
| 505 | 0 | |a Basic framework -- What is topology? -- Symmetric proximity -- Continuity and proximal continuity -- Separation axions -- Uniform spaces, filters and nets -- Compactness and higher separation axioms -- Initial and final structures, embedding -- Grills, clusters, bunches and proximal wallman compactification -- Extensions of continuous functions: Taimanov theorem -- Metrisation -- Function space topologies -- Hyperspace topologies -- Selected topics: uniformity and metrisation. | |
| 520 | 3 | |a 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 spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces. This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising. It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications -- P. [4] of cover. | |
| 650 | 0 | |a Proximity spaces. | |
| 650 | 0 | |a Topology. | |
| 700 | 1 | |a Peters, James F., |e author. | |
| 906 | |a 7 |b cbc |c copycat |d 2 |e ncip |f 20 |g y-gencatlg | ||
| 942 | |c BK | ||
| 955 | |b rl09 2013-08-13 z-processor |i rl09 2013-08-13 ; to CALM | ||
| 999 | |c 135963 |d 135963 | ||
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