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Titlebook: Continuity Theory; Louis Nel Textbook 2016 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Swi

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樓主
發(fā)表于 2025-3-21 16:43:27 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Continuity Theory
編輯Louis Nel
視頻videohttp://file.papertrans.cn/237/236972/236972.mp4
概述Approaches the topic of continuity theory with a self-contained approach accessible to students.Enriches the study of continuity theory by expanding its context beyond metric spaces and topological th
圖書封面Titlebook: Continuity Theory;  Louis Nel Textbook 2016 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Swi
描述This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to provide a seamless transition between students‘ previous studies and new material.?.In view of its many novel features, this book will be of interest also to mature readers who have studied continuous mappings from the subject‘s classical texts and wish to become acquainted with a new approach. The theory of continuous mappings serves as infrastructure for more specialized mathematical theories like differential equations, integral equations, operator theory, dynamical systems, global analysis, topological groups, topological rings and many more. In light of the centrality of the topic, a book of this kind fits a variety of applications, especially those that contribute to a better understanding of functional analysis, towards establishing an efficient setting for its pursuit..
出版日期Textbook 2016
關(guān)鍵詞Continuous Mappings; Metric Spaces; Functional Analysis; Continuity Spaces; Convergence Axioms
版次1
doihttps://doi.org/10.1007/978-3-319-31159-3
isbn_softcover978-3-319-80978-6
isbn_ebook978-3-319-31159-3
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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沙發(fā)
發(fā)表于 2025-3-21 20:30:46 | 只看該作者
板凳
發(fā)表于 2025-3-22 00:47:23 | 只看該作者
Various Kinds of Spaces,ies P, what is implied by P and what constructions will preserve P. Then, of course, there is the separate issue of the class of spaces that have property P: what constructions are available in this class.
地板
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Reflective Subcategories of ,,timate laboratory for continuity theory. Being a foundational category, it is inevitably infested with pathological spaces. We want to get rid of them while retaining the desirable properties of the category as a whole. By forming a . we automatically retain dicompleteness, thus also canonical facto
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發(fā)表于 2025-3-22 17:14:36 | 只看該作者
Enriched Dualities,ppings on these spaces. The classical Stone duality expresses dual equivalence of the category of Stone spaces (compact zero-dimensional) and the category of Boolean rings of continuous mappings on Stone spaces. In this chapter we set forth representations that are, on the one hand, reminiscent of t
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發(fā)表于 2025-3-23 04:26:34 | 只看該作者
Linear Continuous Representations,ives valuable insight into the nature of .-functionals on .?.. Further valuable insight comes from a representation of .-functionals on .?. with compact . via free .-functionals. These results pave the way for a (new) proof that every .?. is reflexive. This again leads to the noteworthy result that
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發(fā)表于 2025-3-23 08:19:41 | 只看該作者
https://doi.org/10.1007/978-3-319-31159-3Continuous Mappings; Metric Spaces; Functional Analysis; Continuity Spaces; Convergence Axioms
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