Universal spaces and mappings [electronic resource] / S.D. Iliadis.
- 作者： Iliadis, S. D. (Stavros D.)
- 其他作者：
- 其他題名：
- North-Holland mathematics studies ;
- 出版： Amsterdam ;Boston : Elsevier c2005.
- 叢書名： North-Holland mathematics studies ;198
- 主題： Generalized spaces. , Mappings (Mathematics) , Topology , Electronic books
- ISBN： 0444515860 、 9780444515865
- URL：
An electronic book accessible through the World Wide Web; click for information
- 一般註：Electronic reproduction. Amsterdam : Elsevier Science & Technology, 2007.
- 書目註：Includes bibliographical references (p. 507-542) and index.
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讀者標籤：
- 系統號： 005164294 | 機讀編目格式
館藏資訊
摘要註
The book is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on. Universal spaces Universal mappings Dimension theory Actions of groups Isometric Universal Spaces.
內容註
Preface. Introductory remarks. Chapter 1. The construction of Containing Spaces. Chapter 2. Saturated classes. Chapter 3. Dimension-like functions. Chapter 4. Saturated classes of spaces with structure. Chapter 5. Completely regular and compact spaces. Chapter 6. Saturated classes of mappings. Chapter 7. Actions of groups. Chapter 8. Containing Spaces and factorizing T-spectra. Chapter 9. Isometries and universality. Chapter 10. Concluding remarks and open problems. Bibliography. Index of symbols. Subject index.