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Mathematical logic --- 510.2 --- Foundations of mathematics --- 510.2 Foundations of mathematics --- Descriptive set theory. --- Forcing (Model theory) --- Continuum hypothesis --- Borel sets. --- Borel sets --- Descriptive set theory --- Model theory --- Set theory --- Generalized continuum hypothesis --- Hypothesis, Continuum --- Hypothesis, Generalized continuum --- B-measurable sets --- B-sets --- Borel-measurable sets --- Borel subsets --- Borelian sets --- Subsets, Borel --- Analytic sets --- Topology

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51 <082.1> --- Mathematics--Series --- Borel sets --- Ensembles boréliens --- Borel sets. --- Ensembles boréliens --- Théorie de la récursivité --- Analytical spaces --- Recursion theory. --- Recursion theory --- Logic, Symbolic and mathematical --- B-measurable sets --- B-sets --- Borel-measurable sets --- Borel subsets --- Borelian sets --- Subsets, Borel --- Analytic sets --- Topology

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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