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Synopsis
This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function...
About the Author
Vladimir V. Tkachuk is a professor in the Department of Mathematics of the Autonomous Metropolitan University in Mexico City. He holds a PhD from Moscow State University and is the author of A Cp-Theory Problem Book: Compactness in Function Spaces (Springer, 2015), A Cp-Theory Problem Book: Special Features of Function Spaces (Springer, 2014) and A Cp-Theory Problem Book: Topological and Function Spaces (Springer, 2011). All volumes have published in the Problem Books...
Review
“The book presents a systematic exposition of functional equivalences of Tychonoff spaces and provides many major results and methods in the area of C p -theory ... . intended for graduate and postgraduate students and for all those who are interested in learning more advanced results and investigation in this dynamic area of topology ... . a valuable reference source for several areas of general topology that can help...
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- PublisherSpringer
- Publication date2018
- ISBN 10 331979616X
- ISBN 13 9783319796161
- BindingPaperback
- LanguageEnglish
- Number of pages741
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A Cp-Theory Problem Book: Functional Equivalencies (Problem Books in Mathematics)
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A Cp-Theory Problem Book
Published by
Springer International Publishing Apr 2018, 2018
ISBN 10: 331979616X
ISBN 13: 9783319796161
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theoryof functional equivalenciesthrough 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of t-equivalent,u-equivalent andl-equivalent spaces is developed from scratch. The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems anddimension theory. Moreover, the inclusion of Kolmogorov'ssolution of Hilbert's Problem 13 is included as it is needed forthepresentation of the theory ofl-equivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of non-preservation of compactness by t-equivalence, Okunev's method of constructingl-equivalent spaces and the theorem of Marciszewski and Pelant onu-invariance of absolute Borel sets. 744 pp. Englisch. Seller Inventory # 9783319796161
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A Cp-Theory Problem Book : Functional Equivalencies
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ISBN 10: 331979616X
ISBN 13: 9783319796161
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theoryof functional equivalenciesthrough 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.The book presents complete and up-to-date information on the preservation of topological properties by homeomorphisms of function spaces. An exhaustive theory of t-equivalent,u-equivalent andl-equivalent spaces is developed from scratch. The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems anddimension theory. Moreover, the inclusion of Kolmogorov'ssolution of Hilbert's Problem 13 is included as it is needed forthepresentation of the theory ofl-equivalent spaces. This volume contains the most important classical results on functional equivalencies, in particular, Gul'ko and Khmyleva's example of non-preservation of compactness by t-equivalence, Okunev's method of constructingl-equivalent spaces and the theorem of Marciszewski and Pelant onu-invariance of absolute Borel sets. Seller Inventory # 9783319796161
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A Cp-Theory Problem Book
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ISBN 10: 331979616X
ISBN 13: 9783319796161
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains a wide variety of top-notch methods and results of Cp-theory and general topology presented with detailed proofsPresents and classifies 100 open problems in Cp-theory explaining their relationship with previous researchIntroduces t. Seller Inventory # 448754959
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A Cp-Theory Problem Book: Functional Equivalencies (Problem Books in Mathematics)
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