Topology with applications: topological spaces via near and far
Description
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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ISBN:
9789814407663
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Grouping Information
Grouped Work ID | 7c5d49a8-5b46-1581-aaaa-bcc5a61e09e1 |
---|---|
Grouping Title | topology with applications topological spaces via near and far |
Grouping Author | s a naimpally |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 21:12:39PM |
Last Indexed | 2024-05-04 01:02:55AM |
Solr Fields
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0
accelerated_reader_reading_level
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auth_author2
Peters, James F.
author
Naimpally, S. A.
author2-role
Peters, James F.,author
author_display
Naimpally, S. A.
display_description
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.
format_category_ccu
eBook
format_ccu
eBook
id
7c5d49a8-5b46-1581-aaaa-bcc5a61e09e1
isbn
9789814407663
last_indexed
2024-05-04T07:02:55.902Z
lexile_score
-1
literary_form
Non Fiction
literary_form_full
Non Fiction
primary_isbn
9789814407663
publishDate
2013
publisher
World Scientific
recordtype
grouped_work
subject_facet
Electronic books
MATHEMATICS -- Topology
Topologie
Topology
MATHEMATICS -- Topology
Topologie
Topology
title_display
Topology with applications : topological spaces via near and far
title_full
Topology with applications : topological spaces via near and far / Somashekhar A. Naimpally, James F. Peters
title_short
Topology with applications
title_sub
topological spaces via near and far
topic_facet
MATHEMATICS
Topologie
Topology
Topologie
Topology
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