Set Theory: The Third Millennium Edition, revised and expandedSpringer Science & Business Media, 23 de maig 2007 - 772 pàgines Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference. |
Continguts
| 3 | |
| 16 | |
Cardinality Alephs The Canonical WellOrdering of α α Cofinality | 35 |
The Axiom of Regularity | 63 |
Stationary Sets | 91 |
Combinatorial Set Theory 107 | 106 |
Partition Properties Weakly Compact Cardinals Trees Almost Disjoint Sets | 125 |
Borel and Analytic Sets | 139 |
Very Large Cardinals | 365 |
Large Cardinals and Forcing 389 | 388 |
Saturated Ideals | 409 |
The Nonstationary Ideal 441 | 440 |
The Singular Cardinal Problem | 457 |
Descriptive Set Theory | 479 |
The Real Line 511 | 510 |
Combinatorial Principles in L 545 | 543 |
Borel Sets Analytic Sets The Suslin Operation A The Hierarchy of Projective | 154 |
Constructible Sets | 175 |
The Hierarchy of Constructible Sets Gödel Operations Inner Models of | 199 |
Forcing Conditions and Generic Sets Separative Quotients and Complete | 225 |
Iterated Forcing and Martins Axiom 267 | 266 |
Large Cardinals | 285 |
Large Cardinals and L 311 | 310 |
Silver Indiscernibles Models with Indiscernibles Proof of Silvers Theorem | 337 |
A Nonconstructible 13 Real Namba Forcing A Cohen Real Adds a Suslin | 573 |
Proper Forcing | 601 |
More Descriptive Set Theory | 615 |
Supercompact Cardinals and the Real Line 647 | 646 |
Forcing and Large Cardinals | 669 |
More on Stationary Sets | 695 |
Notation | 733 |
Altres edicions - Mostra-ho tot
Set Theory: The Third Millennium Edition, revised and expanded Thomas Jech Previsualització limitada - 2006 |
Set Theory: The Third Millennium Edition, revised and expanded Thomas Jech Previsualització no disponible - 2013 |
Frases i termes més freqüents
assume Axiom Baire Boolean algebra Borel bounded called canonical Chapter Choice Clearly cofinality collapse collection compact complete condition consider consistency constant construct contains contradiction Corollary countable defined Definition denote dense disjoint elementary embedding elements equivalence Exercise exists extension fact filter finite follows forcing formula function f given hence holds ideal implies inaccessible induction infinite isomorphic iteration k-complete least Lemma length let f Let G limit ordinal mapping maximal meager measurable cardinal nonempty normal measure Note notion of forcing partition perfect plays Proof proof of Theorem prove reals regular cardinal relation result satisfies sequence stationary stationary set strong subset suffices Theorem transitive model tree ultrafilter ultrapower uncountable union unique weakly well-founded well-ordering winning Woodin