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OverviewDuring the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions and trees. Audience: This book will be of interest to graduate students and researchers in foundational problems of mathematics. Full Product DetailsAuthor: Carlos A. di Prisco , Jean A. Larson , Joan Bagaria , A.R.D. MathiasPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 1998 Dimensions: Width: 16.00cm , Height: 1.20cm , Length: 24.00cm Weight: 0.454kg ISBN: 9789048149780ISBN 10: 9048149789 Pages: 226 Publication Date: 01 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsForcing axioms.- Large cardinal properties of small cardinals.- Countable length Ramsey games.- Weak forms of the axiom of choice and partitions of infinite sets.- A taste of proper forcing.- Applications of ?-functions.- Models as side conditions.- An ordinal partition from a scale.- A picaresque approach to set theory genealogy.- Recurrent points and hyperarithmetic sets.- A tree-arrowing graph.- A Hollow Shell: Covering Lemmas Without a Core.- Partition properties for reals.- Combinatorial set theory and inner models.- Definable ideals and gaps in their quotients.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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