| 書目名稱 | Problems and Theorems in Classical Set Theory | | 編輯 | Péter Komjáth,Vilmos Totik | | 視頻video | http://file.papertrans.cn/758/757255/757255.mp4 | | 概述 | Well chosen sequences of exercises leading to the proofs of basic results of different special topics.Collects the classical results of set theory as developed after the discovery of modern axiomatic | | 叢書名稱 | Problem Books in Mathematics | | 圖書封面 |  | | 描述 | Although the ?rst decades of the 20th century saw some strong debates on set theory and the foundation of mathematics, afterwards set theory has turned into a solid branch of mathematics, indeed, so solid, that it serves as the foundation of the whole building of mathematics. Later generations, honest to Hilbert’s dictum, “No one can chase us out of the paradise that Cantor has created for us” proved countless deep and interesting theorems and also applied the methods of set theory to various problems in algebra, topology, in?nitary combinatorics, and real analysis. The invention of forcing produced a powerful, technically sophisticated tool for solving unsolvable problems. Still, most results of the pre-Cohen era can be digested with just the knowledge of a commonsense introduction to the topic. And it is a worthy e?ort, here we refer not just to usefulness, but, ?rst and foremost, to mathematical beauty. In this volume we o?er a collection of various problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come fromtheperiod,say,1920–1970.Manyproblemsarealsorel | | 出版日期 | Textbook 2006 | | 關(guān)鍵詞 | Arithmetic; Combinatorics; Equivalence; Lemma; Partition; cardinals; graphs; mapping; set theory | | 版次 | 1 | | doi | https://doi.org/10.1007/0-387-36219-3 | | isbn_softcover | 978-1-4419-2140-6 | | isbn_ebook | 978-0-387-36219-9Series ISSN 0941-3502 Series E-ISSN 2197-8506 | | issn_series | 0941-3502 | | copyright | Springer-Verlag New York 2006 |
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