000 03483nam a22005175i 4500
001 978-3-7643-7692-5
003 DE-He213
005 20161121231036.0
007 cr nn 008mamaa
008 100301s2006 sz | s |||| 0|eng d
020 _a9783764376925
_9978-3-7643-7692-5
024 7 _a10.1007/3-7643-7692-9
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
245 1 0 _aSet Theory
_h[electronic resource] :
_bCentre de Recerca Matemàtica Barcelona, 2003–2004 /
_cedited by Joan Bagaria, Stevo Todorcevic.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2006.
300 _aVII, 406 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in Mathematics
505 0 _aSurvey Papers -- An ?-logic Primer -- Upper Semi-lattice Algebras and Combinatorics -- Small Definably-large Cardinals -- Real-valued Measurable Cardinals and Well-orderings of the Reals -- Complexity of Sets and Binary Relations in Continuum Theory: A Survey -- Weak Systems of Gandy, Jensen and Devlin -- Some New Directions in Infinite-combinatorial Topology -- Research Papers -- The Number of Near-Coherence Classes of Ultrafilters is Either Finite or -- Stable Axioms of Set Theory -- Forcing with Finite Conditions -- Subgroups of Abelian Polish Groups -- On the Strength of Mutual Stationarity -- Part(?, ?) and Part*(?, ?) -- Local Connectedness and Distance Functions -- Bounded Martin’s Maximum and Strong Cardinals.
520 _aThis volume has its origins in the Research Programme on Set Theory and its Applications that took place at the Centre de Recerca Matemática (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, P_\kappa\lambda combinatorics, some applications of morasses, subgroups of Abelian Polish groups, adding club subsets of \omega_2 with finite conditions, the consistency strength of mutual stationarity, and new axioms of set theory.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aOrdered algebraic structures.
650 0 _aMathematical logic.
650 0 _aCombinatorics.
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
650 2 4 _aCombinatorics.
700 1 _aBagaria, Joan.
_eeditor.
700 1 _aTodorcevic, Stevo.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764376918
830 0 _aTrends in Mathematics
856 4 0 _uhttp://dx.doi.org/10.1007/3-7643-7692-9
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c507690
_d507690