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Dimension Theory

Dimension Theory

A Selection of Theorems and Counterexamples

by Michael G. Charalambous
Paperback
Publication Date: 18/10/2020

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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.
ISBN:
9783030222345
9783030222345
Category:
Topology
Format:
Paperback
Publication Date:
18-10-2020
Publisher:
Springer Nature Switzerland AG
Country of origin:
Switzerland
Pages:
261
Dimensions (mm):
235x155mm
Weight:
0.42kg

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