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Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
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Set Theory - Centre de Recerca Matematica Barcelona, 2003-2004 (Hardcover, 2006 ed.)
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Set Theory - Centre de Recerca Matematica Barcelona, 2003-2004 (Hardcover, 2006 ed.)
Series: Trends in Mathematics
Expected to ship within 10 - 15 working days
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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.
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