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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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2013
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Schlagworte: | |
Online-Zugang: | FHN01 Volltext |
Zusammenfassung: | 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 |
Beschreibung: | xvi, 277 p. ill. (some col.) |
ISBN: | 9789814407663 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Naimpally, S. A. |
author_facet | Naimpally, S. A. |
author_role | aut |
author_sort | Naimpally, S. A. |
author_variant | s a n sa san |
building | Verbundindex |
bvnumber | BV044638947 |
collection | ZDB-124-WOP |
ctrlnum | (ZDB-124-WOP)00002953 (OCoLC)1012692332 (DE-599)BVBBV044638947 |
dewey-full | 514 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514 |
dewey-search | 514 |
dewey-sort | 3514 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV044638947 |
illustrated | Illustrated |
indexdate | 2024-07-10T07:57:54Z |
institution | BVB |
isbn | 9789814407663 |
language | English |
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physical | xvi, 277 p. ill. (some col.) |
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publishDate | 2013 |
publishDateSearch | 2013 |
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publisher | World Scientific Pub. Co. |
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spelling | Naimpally, S. A. Verfasser aut Topology with applications topological spaces via near and far Somashekhar A. Naimpally, James F. Peters Singapore World Scientific Pub. Co. c2013 xvi, 277 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier 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 Topology Proximity spaces Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 s 1\p DE-604 Peters, James F. Sonstige oth Erscheint auch als Druck-Ausgabe 9789814407656 http://www.worldscientific.com/worldscibooks/10.1142/8501#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Naimpally, S. A. Topology with applications topological spaces via near and far Topology Proximity spaces Topologischer Raum (DE-588)4137586-5 gnd |
subject_GND | (DE-588)4137586-5 |
title | Topology with applications topological spaces via near and far |
title_auth | Topology with applications topological spaces via near and far |
title_exact_search | 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_fullStr | Topology with applications topological spaces via near and far Somashekhar A. Naimpally, James F. Peters |
title_full_unstemmed | Topology with applications topological spaces via near and far Somashekhar A. Naimpally, James F. Peters |
title_short | Topology with applications |
title_sort | topology with applications topological spaces via near and far |
title_sub | topological spaces via near and far |
topic | Topology Proximity spaces Topologischer Raum (DE-588)4137586-5 gnd |
topic_facet | Topology Proximity spaces Topologischer Raum |
url | http://www.worldscientific.com/worldscibooks/10.1142/8501#t=toc |
work_keys_str_mv | AT naimpallysa topologywithapplicationstopologicalspacesvianearandfar AT petersjamesf topologywithapplicationstopologicalspacesvianearandfar |