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Home > Art, Film & Photography > Descriptive Set Theory: Borel Set, G Set, Borel Hierarchy, Wadge Hierarchy, Banach-Mazur Game, Cicho 's Diagram, Scale, Pointclass
Descriptive Set Theory: Borel Set, G Set, Borel Hierarchy, Wadge Hierarchy, Banach-Mazur Game, Cicho 's Diagram, Scale, Pointclass

Descriptive Set Theory: Borel Set, G Set, Borel Hierarchy, Wadge Hierarchy, Banach-Mazur Game, Cicho 's Diagram, Scale, Pointclass


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 25. Chapters: Borel set, G set, Borel hierarchy, Wadge hierarchy, Banach-Mazur game, Cicho 's diagram, Scale, Pointclass, Polish space, Meagre set, Baire space, Infinity-Borel set, Prewellordering, Cantor space, Universally measurable set, Analytic set, Borel right process, Schroeder-Bernstein theorem for measurable spaces, Tree, Uniformization, Projective hierarchy, Zero-dimensional space, L(R), Universally Baire set, Suslin set, Borel equivalence relation, Homogeneous tree, Cabal, F set, Martin measure, Kleene-Brouwer order, Perfect set property, Axiom of projective determinacy,, Property of Baire, List of properties of sets of reals, Difference hierarchy, Inductive set, Homogeneously Suslin set, Lusin's separation theorem, Coanalytic set, Adequate pointclass. Excerpt: In mathematical logic, descriptive set theory is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces. As well as being one of the primary areas of research in set theory, it has applications to other areas of mathematics such as functional analysis, ergodic theory, the study of operator algebras and group actions, and mathematical logic. Descriptive set theory begins with the study of Polish spaces and their Borel sets. A Polish space is a second countable topological space that is metrizable with a complete metric. Equivalently, it is a complete separable metric space whose metric has been "forgotten." Examples include the real line, the Baire space, the Cantor space, and the Hilbert cube . The class of Polish spaces has several universality properties, which show that there is no loss of generality in considering Polish spaces of certain restricted forms. Because of these universality properties, and because the Baire space has the convenient property that it is homeomorphic to, many results in descriptive set...


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Product Details
  • ISBN-13: 9781157655541
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 26
  • Spine Width: 1 mm
  • Weight: 68 gr
  • ISBN-10: 1157655548
  • Publisher Date: 29 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Borel Set, G Set, Borel Hierarchy, Wadge Hierarchy, Banach-Mazur Game, Cicho 's Diagram, Scale, Pointclass
  • Width: 189 mm


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