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Dimension Theory: A Selection of Theorems and Counterexamples (Atlantis Studies in Mathematics, 7) - Hardcover

 
9783030222314: Dimension Theory: A Selection of Theorems and Counterexamples (Atlantis Studies in Mathematics, 7)

Synopsis

This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka's psi-spaces, van Douwen's technique of assigning limit points to carefully selected sequences, and Fedorchuk's method of resolutions.

Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers.

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  • PublisherSpringer
  • Publication date2019
  • ISBN 10 3030222314
  • ISBN 13 9783030222314
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages271

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9783030222345: Dimension Theory: A Selection of Theorems and Counterexamples (Atlantis Studies in Mathematics)

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ISBN 10:  3030222349 ISBN 13:  9783030222345
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka's psi-spaces, van Douwen's technique of assigning limit points to carefully selected sequences, and Fedorchuk's method of resolutions. Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers. 272 pp. Englisch. Seller Inventory # 9783030222314

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. Moreover, it includes three new general methods for constructing spaces: Mrowka's psi-spaces, van Douwen's technique of assigning limit points to carefully selected sequences, and Fedorchuk's method of resolutions. Accessible to readers familiar with the standard facts of general topology, the book is written in a reader-friendly style suitable for self-study. It contains enough material for one or more graduate courses in dimension theory and/or general topology. More than half of the contents do not appear in existing books, making it also a good reference for libraries and researchers. Seller Inventory # 9783030222314

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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presupposed topological definitions and facts are carefully recalledIncludes numerous exercises proving presupposed factsIncludes numerous exercises of further interestHelpfu. Seller Inventory # 327231180

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