{"product_id":"9789814407670","title":"Topology With Applications: Topological Spaces Via Near And Far: Topological Spaces via Near and Far","description":"\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eIt 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 \u003ci\u003enear\u003c\/i\u003e and \u003ci\u003efar\u003c\/i\u003e, 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.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eBasic Framework\u003c\/li\u003e\n\u003cli\u003eWhat is Topology?\u003c\/li\u003e\n\u003cli\u003eSymmetric Proximity\u003c\/li\u003e\n\u003cli\u003eContinuity and Proximal Continuity\u003c\/li\u003e\n\u003cli\u003eSeparation Axioms\u003c\/li\u003e\n\u003cli\u003eUniform Spaces, Filters and Nets\u003c\/li\u003e\n\u003cli\u003eCompactness and Higher Separation Axioms\u003c\/li\u003e\n\u003cli\u003eInitial and Final Structures, Embedding\u003c\/li\u003e\n\u003cli\u003eGrills, Clusters, Bunches and Proximal Wallman Compactification\u003c\/li\u003e\n\u003cli\u003eExtensions of Continuous Functions: Taimanov Theorem\u003c\/li\u003e\n\u003cli\u003eMetrisation\u003c\/li\u003e\n\u003cli\u003eFunction Space Topologies\u003c\/li\u003e\n\u003cli\u003eHyperspace Topologies\u003c\/li\u003e\n\u003cli\u003eSelected Topics: Uniformity and Metrisation\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e 3rd year undergraduate students, graduate students and researchers in topology; professional and practitioners who are interested in applying topology and its applications especially in science and engineering.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47136966050032,"sku":"9789814407670","price":38.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814407670_p0.jpg?v=1763691330","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814407670","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}