Isbn: 9783319796161 - a cp-theory problem book: functional equivalencies (problem books in mathematics) (3 Ergebnisse)

Zustand: New. In English.

Taschenbuch. Zustand: 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.…

Taschenbuch. Zustand: Neu. A Cp-Theory Problem Book | Functional Equivalencies | Vladimir V. Tkachuk | Taschenbuch | Problem Books in Mathematics | xiv | Englisch | 2018 | Springer | EAN 9783319796161 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …