| Set Theory: Centre de Recerca Matemātica Barcelona, 2003-2004 2006 Edition Contributor(s): Bagaria, Joan (Editor), Todorcevic, Stevo (Editor) |
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ISBN: 3764376910 ISBN-13: 9783764376918 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Hardcover Published: July 2006 Annotation: This volume has its origins in the Research Programme on Set Theory and its Applications that took place at the Centre de Recerca Matemtica (CRM) Barcelona from September 2003 to July 2004. It consists of two parts. The first contains survey papers on some of the mainstream areas of set theory, and the second contains original research papers. The survey papers cover topics as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, definable versions of large cardinals, and selection theory for open covers of topological spaces. As for the research papers, they range from topics such as the number of near-coherence classes of ultrafilters, the consistency strength of bounded forcing axioms, some applications of morasses, subgroups of Abelian Polish groups, the consistency strength of mutual stationarity, and new axioms of set theory. |
| Additional Information |
| BISAC Categories: - Mathematics | Logic - Mathematics | Algebra - General - Mathematics | Discrete Mathematics |
| Dewey: 511.322 |
| LCCN: 2006042939 |
| Series: Trends in Mathematics |
| Physical Information: 1.05" H x 6.62" W x 9.18" (1.91 lbs) 416 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This is a collection of articles on set theory written by some of the participants in theResearchProgrammeonSetTheoryanditsApplicationsthattookplaceatthe Centre de Recerca Matem atica (CRM) in Bellaterra (Barcelona). The Programme run from September 2003 to July 2004 and included an international conference on set theory in September 2003, an advanced course on Ramsey methods in ? analysis in January 2004, and a joint CRM-ICREA workshop on the foundations of set theory in June 2004, the latter held in Barcelona. A total of 33 short and long term visitors from 15 countries participated in the Programme. This volume consists of two parts, the ?rst containing survey papers on some of the mainstream areas of set theory, and the second containing original research papers. All of them are authored by visitors who took part in the set theory Programme or by participants in the Programme s activities. The survey papers cover topics as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set t- ory, de?nable versions of large cardinals, and selection theory for open covers of topological spaces. As for the research papers, they range from topics such as the number of near-coherence classes of ultra?lters, the consistency strength of bounded forcing axioms, P (?) combinatorics, someapplicationsof morasses, subgroupsofAbelian ? Polish groups, adding club subsets of ? with ?nite conditions, the consistency 2 strength of mutual stationarity, and new axioms of set theory." |