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Titlebook: Set Theory; With an Introduction Abhijit Dasgupta Textbook 2014 Springer Science+Business Media New York 2014 Cantor‘s Theorem.Dedekind‘s T

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Abhijit DasguptaProvides essential set-theoretic prerequisites for graduate work.Preserves a classical flavor by incorporating historical threads.Includes many examples of the use of set theory in topology, analysis,
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The Heine–Borel and Baire Category Theoremsc proof that . is uncountable. Other topics focus on measure and category: Lebesgue measurable sets, Baire category, the perfect set property for . sets, the Banach–Mazur game and Baire property, and the Vitali and Bernstein constructions.
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https://doi.org/10.1007/978-1-4614-8854-5Cantor‘s Theorem; Dedekind‘s Theorem; Frege; Zermelo-Fraenkel axiom system; order, cardinals, and ordina
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Preliminaries: Sets, Relations, and Functions,asic set-theoretic notions including the power set, ordered pairs, Cartesian product, relations, functions, and their properties, sequences, strings and words, indexed and unindexed families, partitions and equivalence relations, and the basic definition of linear order. Much of the material of this
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