A Cp-theory Problem Book: Functional Equivalencies

April 19, 2018|
A Cp-theory Problem Book: Functional Equivalencies by Vladimir V. Tkachuk
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This fourth volume in Vladimir Tkachuk''s series onCp-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 ofCp-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 oft-equivalent, u-equivalent and l-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 and dimension theory. Moreover, the inclusion of Kolmogorov''s solution of Hilbert''s Problem 13 is included as it is needed for the presentation of the theory of l-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 byt-equivalence, Okunev''s method of constructing  l-equivalent spaces and the theorem of Marciszewski and Pelant on u-invariance of absolute Borel sets.
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...
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Title:A Cp-theory Problem Book: Functional Equivalencies
Format:Paperback
Product dimensions:727 pages, 9.25 X 6.1 X 0 in
Shipping dimensions:727 pages, 9.25 X 6.1 X 0 in
Published:April 19, 2018
Publisher:Springer Nature
Language:English
Appropriate for ages:All ages
ISBN - 13:9783319796161

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