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Dimension theory = a selection of th...

Charalambous, Michael G.

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Dimension theory = a selection of theorems and counterexamples /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dimension theory/ by Michael G. Charalambous.
Reminder of title:	a selection of theorems and counterexamples /
Author:	Charalambous, Michael G.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	x, 261 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Dimension theory (Topology) -
Online resource:	http://link.springer.com/openurl.asp?genre=book&isbn=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. - Cham :Springer International Publishing :2019. - x, 261 p. :ill., digital ;24 cm. - Atlantis studies in mathematics,v.71875-7634 ;. - Atlantis studies in mathematics ;v.7..

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:

555698
Dimension theory (Topology)

LC Class. No.: QA611.3 / .C437 2019

Dewey Class. No.: 512.55

Dimension theory = a selection of theorems and counterexamples /
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245 1 0 $a Dimension theory $h [electronic resource] : $b a selection of theorems and counterexamples / $c by Michael G. Charalambous.
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300 $a x, 261 p. : $b ill., digital ; $c 24 cm.
490 1 $a Atlantis studies in mathematics, $x 1875-7634 ; $v v.7
520 $a 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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