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Titlebook: A General Topology Workbook; Iain T. Adamson Textbook 1996 Springer Science+Business Media New York 1996 Separation axiom.Topologie.compac

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期刊全称A General Topology Workbook
影响因子2023Iain T. Adamson
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图书封面Titlebook: A General Topology Workbook;  Iain T. Adamson Textbook 1996 Springer Science+Business Media New York 1996 Separation axiom.Topologie.compac
影响因子This book has been called a Workbook to make it clear from the start that it is not a conventional textbook. Conventional textbooks proceed by giving in each section or chapter first the definitions of the terms to be used, the concepts they are to work with, then some theorems involving these terms (complete with proofs) and finally some examples and exercises to test the readers‘ understanding of the definitions and the theorems. Readers of this book will indeed find all the conventional constituents--definitions, theorems, proofs, examples and exercises­ but not in the conventional arrangement. In the first part of the book will be found a quick review of the basic definitions of general topology interspersed with a large num­ ber of exercises, some of which are also described as theorems. (The use of the word Theorem is not intended as an indication of difficulty but of importance and usefulness. ) The exercises are deliberately not "graded"-after all the problems we meet in mathematical "real life" do not come in order of difficulty; some of them are very simple illustrative examples; others are in the nature of tutorial problems for a conven­ tional course, while others are q
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by giving in each section or chapter first the definitions of the terms to be used, the concepts they are to work with, then some theorems involving these terms (complete with proofs) and finally some examples and exercises to test the readers‘ understanding of the definitions and the theorems. Read
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https://doi.org/10.1007/978-3-642-67388-7 consisting of the images .(.) of all points . in .. Again, if . is a subset of .′, we use .(.) to denote the inverse image of . under ., i.e. the set of all points . of . for which the image .(.) lies in ..
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Akutes Abdomen im Kindes- und JugendalterThroughout the book we use the following standard notation:
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https://doi.org/10.1007/978-3-642-67388-7In the first part of this chapter we show how a family of mappings from a set . to the underlying sets of a family of topological spaces may be used to construct a topology on .. There are two important special cases, described in Examples 1 and 2, where we apply the general construction to define subspace and product topologies.
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