| 書目名稱 | Index Analysis | | 副標(biāo)題 | Approach Theory at W | | 編輯 | R. Lowen | | 視頻video | http://file.papertrans.cn/464/463409/463409.mp4 | | 概述 | Provides a self-contained introduction to approach theory and index analysis.Presents applications to topology, functional analysis, probability, hyperspaces and domains.Includes a thorough analysis o | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | .The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction..The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their uniform counterpart, uniform gauge spaces, is put into the picture. An extensive study of completions, both for approach spaces and for uniform gauge spaces, as well as compactifications for approach spaces is performed. A paradigm shift is created by the new concept of index analysis..Making use of the rich intrinsic quantitative information present in approach structures, a technique is developed whereby indices are defined that measure the extent to which properties hold, and theorems become inequalities involving indices; therefore vastly extending the realm of applicability of many classical results. The theory is then illustrated in such varied fields as topology, functional analysis, probability theory, hyperspace theory and domain theory. Finally a comprehensive analysis is made concerning the cat | | 出版日期 | Book 2015 | | 關(guān)鍵詞 | Approach Space; Ascoli Theorem; Asymptotic Center; Asymptotic Radius; Completion; Contraction; Dini’s Theo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-6485-2 | | isbn_softcover | 978-1-4471-7266-6 | | isbn_ebook | 978-1-4471-6485-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag London 2015 |
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