{"title":"Lorenz J. Halbeisen","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003eLorenz J. Halbeisen is Professor for Mathematical Logic and Set Theory at ETH Zurich.\u003c\/p\u003e","products":[{"product_id":"combinatorial-set-theory-lorenz-j-halbeisen-ebook","title":"Combinatorial Set Theory","description":"\u003cp\u003ePart I: Preliminary.- 1 The Setting.- 2 First-Order Logic in a Nutshell.- 3 Axioms of Set Theory.- Part II: Topics in Combinatorial Set Theory.- 4 Overture: Ramsey's Theorem.- 5 Cardinal Relations in ZF Only.- 6 Forms of Choice.- 7 How to Make Two Balls from One.- 8 Models of Set Theory with Atoms.- 9 Thirteen Cardinals and Their Relations.- 10 The Shattering Number Revisited.- 11 Happy Families and Their Relatives.- 12 Coda: A Dual Form of Ramsey’s Theorem.- Part III: From Martin’s Axiom to Cohen’s Forcing.- 13 The Idea of Forcing.- 14 Martin's Axiom.- 15 The Notion of Forcing.- 16 Proving Unprovability.- 17 Models in Which AC Fails.- 18 Combining Forcing Notions.- 19 Models in Which p=c.- 20 Suslin’s Problem.- Part IV: Combinatorics of Forcing Extensions.- 21 Properties of Forcing Extensions.- 22 Cohen Forcing Revisited.- 23 Sacks Forcing.- 24 Silver-Like Forcing Notions.- 25 Miller Forcing.- 26 Mathias Forcing.- 27 Laver Forcing.- 28 How Many Ramsey Ultrafilters Exist?.- 29 Suite.\u003c\/p\u003e","brand":"Lorenz J. Halbeisen","offers":[{"title":"Default Title","offer_id":53652880064839,"sku":"9783031917523","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0920\/5455\/2903\/files\/combinatorial-set-theory-ebook-cover.webp?v=1775384526"}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0920\/5455\/2903\/collections\/lorenz-j-halbeisen-autor-kollektion.webp?v=1775384525","url":"https:\/\/www.cinebuch.de\/collections\/lorenz-j-halbeisen.oembed","provider":"CineBuch","version":"1.0","type":"link"}