Sphere bundles over spheres
Sphere bundles over spheres
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球面上的球束
DOI：
10.1007/978-1-4613-8283-6
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发表时间：
1966
影响因子：
2.9
通讯作者：
沢田 達男
中科院分区：
文献类型：
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作者：
沢田 達男
学生的拓扑正确地抱怨说，许多基本材料的主题不能很容易地发现在文献中，至少不是在一个方便的形式。在这本书中，我试图重新审视这些基本材料，并以一种连贯的方式组织它们。文本是自成一体的，因为我可以合理地使它，应该是相当容易接近任何人谁有一个基本知识的点集拓扑和群论。这本书是基于一个过程中的16个研究生讲座在牛津大学和其他地方不时。在这样长的课程中，如果讨论太多的话题，就会显得过于肤浅。然而，这从来没有打算作为一个专题论文，而是作为一个简短的入门课程，我希望，这将证明是有用的专家和非专家一样。引言包含内容描述。没有代数或拓扑结构涉及，虽然我已经牢记需要的学生的这些分支的主题。读者的练习分散在整个文本中，而进一步阅读的建议包含在每章末尾的参考文献列表中。在大多数情况下，这些列表包括我所引用的主要来源，但这不是那种可以为所有内容提供参考的书。
Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form. In this book I have tried to take a fresh look at some of this basic material and to organize it in a coherent fashion. The text is as self-contained as I could reasonably make it and should be quite accessible to anyone who has an elementary knowledge of point-set topology and group theory. This book is based on a course of 16 graduate lectures given at Oxford and elsewhere from time to time. In a course of that length one cannot discuss too many topics without being unduly superficial. However, this was never intended as a treatise on the subject but rather as a short introductory course which will, I hope, prove useful to specialists and non-specialists alike. The introduction contains a description of the contents. No algebraic or differen tial topology is involved, although I have borne in mind the needs of students of those branches of the subject. Exercises for the reader are scattered throughout the text, while suggestions for further reading are contained in the lists of references at the end of each chapter. In most cases these lists include the main sources I have drawn on, but this is not the type of book where it is practicable to give a reference for everything.