000			01915nam a2200277Ia 4500
003			OSt
005			20251119104014.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9781447121732
037			_cTextual
040			_aCSL _beng _cCSL
041			_aeng
084			_aB217 Q2 _qCSL
100			_aHalbeisen, Lorenz J _eauthor _9852171
245		0	_aCombinatorial Set Theory _b: With a Gentle Introduction to Forcing _c/ by Lorenz J Halbeisen
260			_aNew York : _bSpringer , _c2012 .
300			_axvi,453p.
490			_aSpringer monographs in mathematics
500			_aIncluded bibliographical references.; Symbols and name index 439-446p.; Subject index 447-453p.
520			_aThis book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.
650			_aCombinatorics. _9852172
650			_aSet theory. _9852173
650			_aMathematics. _9852174
942			_hB217 Q2 _cTEXL _2CC _n0
999			_c14481 _d14481