Author | Jech, Thomas. author |
---|---|
Title | Set Theory [electronic resource] / by Thomas Jech |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2003 |
Edition | The Third Millennium Edition |
Connect to | http://dx.doi.org/10.1007/3-540-44761-X |
Descript | XIV, 772 p. online resource |
Basic Set Theory -- Axioms of Set Theory -- Ordinal Numbers -- Cardinal Numbers -- Real Numbers -- The Axiom of Choice and Cardinal Arithmetic -- The Axiom of Regularity -- Filters, Ultrafilters and Boolean Algebras -- Stationary Sets -- Combinatorial Set Theory -- Measurable Cardinals -- Borel and Analytic Sets -- Models of Set Theory -- Advanced Set Theory -- Constructible Sets -- Forcing -- Applications of Forcing -- Iterated Forcing and Martinโs Axiom -- Large Cardinals -- Large Cardinals and L -- Iterated Ultrapowers and L[U] -- Very Large Cardinals -- Large Cardinals and Forcing -- Saturated Ideals -- The Nonstationary Ideal -- The Singular Cardinal Problem -- Descriptive Set Theory -- The Real Line -- Selected Topics -- Combinatorial Principles in L -- More Applications of Forcing -- More Combinatorial Set Theory -- Complete Boolean Algebras -- Proper Forcing -- More Descriptive Set Theory -- Determinacy -- Supercompact Cardinals and the Real Line -- Inner Models for Large Cardinals -- Forcing and Large Cardinals -- Martinโs Maximum -- More on Stationary Sets