General Asymptology
by Protasov, Ihor; Zarichnyi, Michael
- New
- Hardcover
- Condition
- New
- ISBN 10
- 9668849329
- ISBN 13
- 9789668849329
- Seller
-
Kraków, Poland
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About This Item
VNTL Publishers, 2007 8vo (21.5 cm), 219 pp. Laminated boards. The present monograph is devoted mostly to general properties of the ball structures, which simultaneously generalize the coarse structures introduced in the large scale geometry by J. Roe as well as the uniform structures. Chapter 1 contains the definition of the ball structures (baleans), provides their different examples and briefly discusses their connections with coarse structures. The topological coarse structures are also considered. The different morphisms of balleans and coarse spaces are defined and some categories of balleans and coarse structures are introduced. Chapter 2 is devoted to relations between the ball structures and metric structures, important morphisms between metric spaces. Chapter 3 concerns the property of cellularity of balleans and contains the notion of asymptotic dimension of balleans in the spirit of Gromov. It turns out that cellularity can be described in terms of asymptotic dimension zero, which makes it close to the non-Archimedean (ultrametric) spaces. Chapter 4 is devoted to the property of normality. In Chapters 5 and 6 the graph balleans and the group balleans are investigated. In Chapter 7 the functions on balleans which are slowly oscillating with respect to given filter are studied. The counterpart of the Higson corona in the context of balleans is investigated in Chapter 8. Some cardinal invariants of balleans are introduced and discussed in Chapter 9. The concluding Chapter 10 is devoted to the notion of maximality of balleans. Bibliography: 86 items. Mathematical Studies: Monograph Series. Volume 12.
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Details
- Bookseller
- Leopolis Volodymyr Dmyterko (PL)
- Bookseller's Inventory #
- 008406
- Title
- General Asymptology
- Author
- Protasov, Ihor; Zarichnyi, Michael
- Format/Binding
- Hardcover
- Book Condition
- New New
- Quantity Available
- 3
- ISBN 10
- 9668849329
- ISBN 13
- 9789668849329
- Publisher
- VNTL Publishers
- Date Published
- 2007
- Bookseller catalogs
- Mathematics;
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Leopolis Volodymyr Dmyterko
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About the Seller
Leopolis Volodymyr Dmyterko
Biblio member since 2019
Kraków
About Leopolis Volodymyr Dmyterko
Specializing in mathematical sciences, Church Slavonic and Slavic books, Eastern European history, travels and topography, bibliography, history and art of the book, history of libraries and collections