{"product_id":"lectures-in-set-theory-with-particular-emphasis-on-the-method-of-forcing-9783540055648","title":"Lectures in Set Theory: With Particular Emphasis on the Method of Forcing","description":"\u003cp\u003e • Author(s): Thomas J. Jech\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Logic\u003c\/p\u003e\u003cp\u003eFormulas and classes.- Axioms of Zermelo-Fraenkel.- Ordinal numbers.- Cardinal numbers.- Finite sets.- Real numbers.- Axiom of choice.- Cardinal arithmetic.- Axiom of regularity.- Transitive models.- Constructible sets.- Consistency of AC and GCH.- More on transitive models.- Ordinal definability.- Remarks on complete boolean algebras.- The method of forcing and boolean  valued models.- Independence of the continuum hypothesis and collapsing of cardinals.- Two applications of boolean-valued models in the theory of boolean algebras.- Lebesgue measurability.- Suslin's problem.- Martin's axiom.- Perfect forcing.- Remark on ordinal definability.- Independence of AC.- Fraenkel-mostowski models.- Embedding of FM models in models of ZF.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":47615504810135,"sku":"9783540055648","price":2935.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540055648.webp?v=1775101306","url":"https:\/\/atlanticbooks.com\/products\/lectures-in-set-theory-with-particular-emphasis-on-the-method-of-forcing-9783540055648","provider":"Atlantic Books","version":"1.0","type":"link"}