| 书目名称 | Ordered Sets | | 副标题 | An Introduction with | | 编辑 | Bernd Schröder | | 视频video | | | 概述 | Presents a wide range of material, from classical to brand new results.Uses a modular presentation in which core material is kept brief, allowing for a broad exposure to the subject without overwhelmi | | 图书封面 |  | | 描述 | .The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects. Utilizing a modular presentation, the core material is purposely kept brief, allowing for the benefits of a broad exposure to the subject without the risk of overloading the reader with too much information all at once. The remaining chapters can then be read in almost any order, giving the text a greater depth and flexibility of use. Most topics are introduced by examining how they relate to research problems, some of them still open, allowing for continuity among diverse topics and encouraging readers to explore these problems further with research of their own..A wide range of material is presented, from classical results such as Dilworth‘s, Szpilrajn‘s, and Hashimoto‘s Theorems to more recent results such as the Li-Milner Structure Theorem. Major topics covered include chains and antichains, lowest upper and greatest lower bounds, retractions, algorithmic approaches, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, and the role of algebraic topology. This new edition | | 出版日期 | Textbook 2016Latest edition | | 关键词 | set theory; Algebraic Topology; Enumeration; Mathematical Logic; combinatorics; discrete mathematics | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-319-29788-0 | | isbn_softcover | 978-3-319-80654-9 | | isbn_ebook | 978-3-319-29788-0 | | copyright | Springer International Publishing 2016 |
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发表于 2025-3-21 19:02:38
