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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...
| Hlavní autoři: | , |
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| Médium: | Printed Book |
| Jazyk: | English |
| Témata: |
Obsah:
- 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.