The authors prove that it is consistent (relative to a Mahlo cardinal) that all projective sets of reals are Lebesgue measurable, but there is a $Delta^1_3$ set without the Baire property. The complexity of the set which provides a counterexample to the Baire property is optimal.
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper the authors study the generalization where countable is replaced by uncountable. They explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case. They also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. The authors' results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.
The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.
A reprint of one of the classic volumes on racetrack efficiency, this book is the only one in its field that deals with the racetrack betting market in-depth, containing all the important historical papers on racetrack efficiency. As evidenced by the collection of articles, the understanding of racetrack betting is clearly drawn from, and has correspondingly returned something to, all the fields of psychology, economics, finance, statistics, mathematics and management science.
Le 20e siècle semble traîner derrière lui des valeurs et des réalités qu’il pensait combattre à jamais. Inégalité et pauvreté n’étaient déjà pas, plus, envisageables depuis au moins deux siècles et le Royaume-Uni semblait porter les espoirs de cette ère nouvelle. Depuis 1942, d’aucuns affirment que le procès richesse-inégalité-pauvreté est un des plus stables du pays. Qu’en-est-il au juste ? Le recueil bilingue (anglais-français) apporte sa contribution au débat.
In this fascinating book, Seymour (Sy) Gitin recounts his life’s journey, from his childhood in 1940s Buffalo, New York, to a storied career as an archaeologist working and living in Israel. Over the course of his life, Sy served as a rabbi in Los Angeles and as US Air Force Chaplain, starred in an Israeli movie, trained as an archaeologist, and eventually became the Director of the W. F. Albright Institute of Archaeological Research in Jerusalem, an institution he led for thirty-four years. As an archaeologist, Sy encouraged American participation in the archaeology of ancient Israel, fostered the development of the Palestinian archaeological community, and conducted valuable field work at Tell Gezer and Tel Miqne-Ekron. His tale is full of entertaining vignettes involving the people that he encountered along the way, including many of the pioneers in the field—W. F. Albright, Nelson Glueck, Yigael Yadin, Benjamin Mazar, and Trude Dothan, as well as current protagonists William G. Dever, Israel Finkelstein, and Amihai Mazar. Readers will enjoy Sy’s humorous and engaging stories: rationing out seder wine on a military base following the great Alaskan earthquake only to learn that soldiers were threatening to use it to brush their teeth, encounters with Senator Daniel Patrick Moynihan and US Ambassador Thomas Pickering, and the many colorful experiences he had with fellow scholars through the years. An engaging and entertaining recounting of a remarkably lived life, The Road Taken is a revealing look at being Jewish in America and Israel from the 1940s through today and an eye-opening look at the often controversial development of biblical archaeology.
A reclusive painter living in exile in Paris, Gao Xingjian found himself instantly famous when he became the first Chinese language writer to receive the Nobel Prize for Literature (2000). The author of the novel Soul Mountain, Gao is best known in his native country not as a visual artist or novelist, but as a playwright and theater director. This important yet rarely studied figure is the focus of Sy Ren Quah’s rich account appraising his contributions to contemporary Chinese and World Theater over the past two decades. A playwright himself, Quah provides an in-depth analysis of the literary, dramatic, intellectual, and technical aspects of Gao’s plays and theatrical concepts, treating Gao’s theater not only as an art form but, with Gao himself, as a significant cultural phenomenon. The Bus Stop, Wild Man, and other early works are examined in the context of 1980s China. Influenced by Stanislavsky, Brecht, and Beckett, as well as traditional Chinese theater arts and philosophies, Gao refused to conform to the dominant realist conventions of the time and made a conscious effort to renovate Chinese theater. The young playwright sought to create a "Modern Eastern Theater" that was neither a vague generalization nor a nationalistic declaration, but a challenge to orthodox ideologies. After fleeing China, Gao was free to experiment openly with theatrical forms. Quah examines his post-exile plays in a context of performance theory and philosophical concerns, such as the real versus the unreal, and the Self versus the Other. The image conveyed of Gao is not of an activist but of an intellectual committed to maintaining his artistic independence who continues to voice his opinion on political matters.
Descriptive set theory is mainly concerned with studying subsets of the space of all countable binary sequences. In this paper the authors study the generalization where countable is replaced by uncountable. They explore properties of generalized Baire and Cantor spaces, equivalence relations and their Borel reducibility. The study shows that the descriptive set theory looks very different in this generalized setting compared to the classical, countable case. They also draw the connection between the stability theoretic complexity of first-order theories and the descriptive set theoretic complexity of their isomorphism relations. The authors' results suggest that Borel reducibility on uncountable structures is a model theoretically natural way to compare the complexity of isomorphism relations.
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