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Dimension Theory - A Selection of Theorems and Counterexamples (Hardcover, 1st ed. 2019)
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Dimension Theory - A Selection of Theorems and Counterexamples (Hardcover, 1st ed. 2019)
Series: Atlantis Studies in Mathematics, 7
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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.
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