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Set theory --- Descriptive set theory --- Forcing (Model theory) --- Borel sets

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Borel sets --- Constructibility (Set theory) --- Descriptive set theory

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Set theory --- Descriptive set theory --- Forcing (Model theory) --- Borel sets --- B-measurable sets --- B-sets --- Borel-measurable sets --- Borel subsets --- Borelian sets --- Subsets, Borel --- Analytic sets --- Topology --- Model theory --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Logic, Symbolic and mathematical --- Mathematics --- Borel sets.

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A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc. It is well suited for graduate students exploring areas of mathematics for their research and for mathematicians requiring Borel sets and measurable selections in their work. It contains significant applications to other branches of mathematics and can serve as a self- contained reference accessible by mathematicians in many different disciplines. It is written in an easily understandable style and employs only naive set theory, general topology, analysis, and algebra. A large number of interesting exercises are given throughout the text.

Differential equations --- Borel sets. --- Ensembles boréliens --- Borel sets --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Algebra --- Mathematics. --- Mathematical logic. --- Topology. --- Mathematical Logic and Foundations. --- Logic, Symbolic and mathematical. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Syllogism --- B-measurable sets --- B-sets --- Borel-measurable sets --- Borel subsets --- Borelian sets --- Subsets, Borel --- Analytic sets --- Topology --- Ensembles, Théorie descriptive des --- Mesure, Théorie de la

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These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.

Asymptotic expansions -- Congresses. --- Borel sets -- Congresses. --- Mathematics. --- Polylogarithms. --- Engineering & Applied Sciences --- Applied Mathematics --- Geometry, Differential. --- Asymptotic expansions. --- Asymptotic developments --- Differential geometry --- Mathematical analysis. --- Analysis (Mathematics). --- Physics. --- Analysis. --- Theoretical, Mathematical and Computational Physics. --- Asymptotes --- Convergence --- Difference equations --- Divergent series --- Functions --- Numerical analysis --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical physics. --- Physical mathematics --- Physics --- 517.1 Mathematical analysis --- Mathematical analysis --- Mathematics