000 02001cam a22002297i 4500
001 17849933
005 20250602111130.0
008 130813t20132013si a b 001 0 eng d
020 _a9789814407656
040 _aCSL
_cCSL
084 _aB316 Q3 NBHM
_qCSL
100 1 _aNaimpally, S. A.,
_eauthor.
_9811320
245 1 0 _aTopology with applications :
_btopological spaces via near and far
264 1 _a[Hackensack], New Jersey :
_bWorld Scientific,
_c2013.
300 _axv, 277 p. :
_bill ;
_c24 cm
504 _aIncludes bibliographical references and index.
520 3 _aThe 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.
650 0 _aTopology.
_9447898
650 0 _aProximity spaces.
_9811321
700 1 _aPeters, James F.,
_eco- author.
942 _2CC
_cTEXL
_hB316 Q3 NBHM
_n0
999 _c1431274
_d1431274