03613nam a22004935i 4500 978-3-319-16092-4 DE-He213 20210617033158.0 cr nn 008mamaa 150602s2015 gw | s |||| 0|eng d 9783319160924 978-3-319-16092-4 10.1007/978-3-319-16092-4 doi QA612-612.8 PBPD bicssc MAT038000 bisacsh PBPD thema 514.2 23 Tkachuk, Vladimir V. author. aut http://id.loc.gov/vocabulary/relators/aut A Cp-Theory Problem Book [electronic resource] : Compactness in Function Spaces / by Vladimir V. Tkachuk. 1st ed. 2015. Cham : Springer International Publishing : Imprint: Springer, 2015. XV, 524 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Problem Books in Mathematics, 0941-3502 Preface -- Contents -- Detailed summary of exercise sections -- Introduction -- 1. Behavior of Compactness in Function Spaces -- 2. Solutions of Problems 001-0500 -- 3. Bonus Results: Some Hidden Statements -- 4. Open Problems -- Bibliography -- List of Special Symbols -- Index. This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide variety of topics in Cp-theory and general topology at the professional level.  The first volume, Topological and Function Spaces © 2011, provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. The second volume, Special Features of Function Spaces © 2014, continued from the first, giving reasonably complete coverage of Cp-theory, systematically introducing each of the major topics and providing 500 carefully selected problems and exercises with complete solutions. This third volume is self-contained and works in tandem with the other two, containing five hundred carefully selected problems and solutions. It can also be considered as an introduction to advanced set theory and descriptive set theory, presenting diverse topics of the theory of function spaces with the topology of point wise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Algebraic topology. Functional analysis. Algebraic Topology. https://scigraph.springernature.com/ontologies/product-market-codes/M28019 Functional Analysis. https://scigraph.springernature.com/ontologies/product-market-codes/M12066 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783319160931 Printed edition: 9783319160917 Printed edition: 9783319365367 Problem Books in Mathematics, 0941-3502 https://doi.org/10.1007/978-3-319-16092-4 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)