Obituary 发表于 2025-3-25 04:56:13
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,异端 发表于 2025-3-25 09:02:46
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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.小故事 发表于 2025-3-26 05:31:32
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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单片眼镜 发表于 2025-3-26 14:52:33
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带子 发表于 2025-3-26 18:52:22
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