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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
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Symplectic manifolds. --- Topology. --- Variétés symplectiques --- Topologie --- Varietes symplectiques. --- Topologie. --- 515.16 --- 515.16 Topology of manifolds --- Topology of manifolds --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Manifolds, Symplectic --- Geometry, Differential --- Manifolds (Mathematics) --- Differential geometry --- Differential topology --- Differential geometry. Global analysis --- Chimie topologique --- Algèbre linéaire --- Coloriage --- Géométrie algébrique --- Fonctions invexes --- Analyse ultramétrique --- Anneaux topologiques --- Applications (mathématiques) --- Atiyah-Singer, Théorème d' --- Banach, Espaces de --- Catégories (mathématiques) --- Coincidence, Théorie de la (mathématiques) --- Compactifications --- Dimension, Théorie de la (topologie) --- Dualité, Principe de (mathématiques) --- Dynamique topologique --- Ensembles amas, Théorie des --- Ensembles boréliens --- Espaces de proximité --- Espaces localement compacts --- Espaces métriques --- Espaces topologiques --- Espaces uniformes --- Espaces vectoriels topologiques --- Forme, Théorie de la (topologie) --- Graphes, Théorie des --- Graphes topologiques, Théorie des --- Groupes topologiques --- Hewitt-Nachbin, Espaces de --- Homotopie --- Isométrie (mathématiques) --- Jeux de stratégie (mathématiques) --- Plongements (mathématiques) --- Plongements topologiques --- Point fixe, Théorème du --- Polytopes --- Relèvement (mathématiques) --- Réseaux (mathématiques) --- Rétractes, Théorie des --- Semigroupes topologiques --- Simplexes (mathématiques) --- Topologie algébrique --- Topologie combinatoire --- Topologie de l'espace métrique --- Topologie différentielle --- Topologie ensembliste --- Transformations, Groupes de --- Treillis, Théorie des --- Variétés (mathématiques) --- Variétés topologiques --- Topologie linéaire par morceaux --- Théorie des ensembles --- Géométrie --- Polyèdres --- Géométrie symplectique --- Géométrie différentielle --- mathématiques --- Symplectic manifolds --- Topology --- Varietes symplectiques --- Géometrie différentielle globale --- Géometrie symplectique
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