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Dimension Theory = A Selection of Theorems and Counterexamples /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dimension Theory/ by Michael G. Charalambous.
其他題名:	A Selection of Theorems and Counterexamples /
作者:	Charalambous, Michael G.
面頁冊數:	X, 261 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Topology. -
電子資源:	https://doi.org/10.1007/978-3-030-22232-1
ISBN:	9783030222321

Dimension Theory = A Selection of Theorems and Counterexamples /
Charalambous, Michael G.

Dimension TheoryA Selection of Theorems and Counterexamples /[electronic resource] :by Michael G. Charalambous. - 1st ed. 2019. - X, 261 p. 1 illus.online resource. - Atlantis Studies in Mathematics,71875-7634 ;. - Atlantis Studies in Mathematics,6.

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: 9783030222321

Standard No.: 10.1007/978-3-030-22232-1doiSubjects--Topical Terms:

633483
Topology.

LC Class. No.: QA611-614.97

Dewey Class. No.: 514

Dimension Theory = A Selection of Theorems and Counterexamples /
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