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Topology With Applications: Topological Spaces Via Near And Far (Hardcover)
Loot Price: R2,742
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Topology With Applications: Topological Spaces Via Near And Far (Hardcover)
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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.
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