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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 shifts the primary focus to finite ordered sets, with results on infinite ordered sets presented toward the end of each chapter whenever possible. Also new are Chapter 6 on graphs and homomorphisms, which serves to separate the fixed clique property from the more fundamental fixed simplex property as well as to discuss the connections and differences between graph homomorphisms and order-preserving maps, and an appendix on discrete Morse functions and their use for the fixed point property for ordered sets. Rich in examples, diagrams, and exercises, the second edition of Ordered Sets will be an excellent text for undergraduate and graduate students and a valuable resource for interested researchers. It will be especially useful to those looking for an introduction to the theory of ordered sets and its connections to such areas as algebraic topology, analysis, and computer science. PRAISE FOR THE FIRST EDITION "The author has done the field a service by producing an excellent text strong in the presentation of certain topological aspects of the underlying diagrams, e.g., which should serve the developing community and field well and which can be recommended without reservations as one of the volumes which should grace a poseteer's library whether she is interested only or mainly in the theory of these objects or has directed her gaze towards applications. As a sourcebook of ideas and understanding it will make its mark. And deservedly so." ? ZENTRALBLATT MATH "A gem. Undergraduate mathematics and computer science majors will find the first chapters offering background that will serve them well in many courses. The rest of the book, which features many open problems, constitutes an accessible and stimulating invitation to research . . . Highly recommended." ? CHOICE "The author presents the field of ordered sets in an attractive way and the many open problems presented in the book are invaluable...[T]he book is a success, it presents an in depth and up to date carefully written coverage of ordered sets." SIGACT NEWS.

Algebra --- Algèbre --- Algebraic topology --- Topologie algébrique --- Combinatorial analysis. --- Logic, Symbolic and mathematical. --- Mathematics --- Mathématiques --- Ordered algebraic structures --- Structures algébriques ordonnées

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Inequality has been rising in many countries over the last decades and the process seems to have accelerated with the Great Recession. Not only is income distribution more unequal today than 40 years ago, but also its transmission through generations has increased. In other words, many countries no longer experience upward economic mobility as was prevalent in the past. Research in Labor Economics volume 43 contains new and innovative research on the causes and consequences of inequality. Topics include the way inequality is measured, the level of equal opportunities across countries, the impact of education, the effect of changing occupational structure, the consequences of changing productivity within the firm, the roles of stagnating average real wages, the decline of union membership, the effect of maternal labor supply on labor market outcomes of their children, and the link between income inequality and health.

E-books --- Income distribution --- Wage differentials --- Equality --- Labor economics --- Economic aspects --- Income distribution. --- Wage differentials. --- Egalitarianism --- Inequality --- Social equality --- Social inequality --- Political science --- Sociology --- Democracy --- Liberty --- Differentials, Wage --- Wages --- Distribution of income --- Income inequality --- Inequality of income --- Distribution (Economic theory) --- Disposable income --- Economic aspects. --- Economics --- Business & Economics --- Labour economics. --- Labor. --- Business, Management and Economics --- Equality Economic aspects --- Equality. --- Social stratification. --- Labor economics.

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This edited collection examines how fantasy sports play has established a prominent and promising foothold in the larger sports ecology. The contributors include leading scholars and sports professionals from several different fields who share historical and emerging perspectives on the importance of fantasy sports as an artifact of theoretical and empirical importance to larger issues of sport and society.

Fantasy sports. --- Mass media and sports.

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Anorexia Nervosa --- Chronic Disease. --- Severity of Illness Index. --- Treatment Outcome. --- Anorexie mentale --- diagnosis. --- physiopathology. --- therapy.