Dimension theory : a selection of theorems and counterexamples /

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Bibliographic Details
Author / Creator:Charalambous, Michael G.
Imprint:Cham : Springer, 2019.
Description:1 online resource (262 pages)
Language:English
Series:Atlantis Studies in Mathematics ; v. 7
Atlantis studies in mathematics ; v. 7.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11981459
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ISBN:9783030222321
3030222322
9783030222314
Notes:Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Charalambous, Michael G. Dimension Theory : A Selection of Theorems and Counterexamples. Cham : Springer, ©2019 9783030222314
Standard no.:10.1007/978-3-030-22232-1
10.1007/978-3-030-22