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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Bibliographic Details
Main Authors: Naimpally, S. A., Peters, James F. (Author)
Format: Printed Book
Language:English
Subjects:
Proximity spaces.
Topology.
Table of Contents:
  • 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.

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