Combinatorial set theory : with a gentle introduction to forcing /: with a gentle introduction to forcing. ([2017])

• Record Type: Book
• Further Information: Note: Lorenz J. Halbeisen.
• Authors: Halbeisen, Lorenz J
• Contents: The Setting -- First-Order Logic in a Nutshell -- Axioms of Set Theory -- Overture: Ramsey's Theorem -- Cardinal Relations in ZF Only -- Forms of Choice -- How to Make Two Balls from One -- Models of Set Theory with Atoms -- Thirteen Cardinals and Their Relations -- The Shattering Number Revisited -- Happy Families and Their Relatives -- Coda: A Dual Form of Ramsey?s Theorem -- The Idea of Forcing -- Martin's Axiom -- The Notion of Forcing -- Proving Unprovability -- Models in Which AC Fails -- Combining Forcing Notions -- Models in Which p=c -- Suslin?s Problem -- Properties of Forcing Extensions -- Cohen Forcing Revisited -- Sacks Forcing -- Silver-Like Forcing Notions -- Miller Forcing -- Mathias Forcing -- How Many Ramsey Ultrafilters Exist? -- Combinatorial Properties of Sets of Partitions -- Suite.
• Edition: Second edition
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 511.3/22; Mathematics; Combinatorial set theory; Forcing (Model theory); MATHEMATICS -- General; Combinatorial set theory; Forcing (Model theory); Mathematics -- Combinatorics; Combinatorics & graph theory; Logic, Symbolic and mathematical; Combinatorics; Mathematics -- Logic; Mathematical foundations; Electronic books
• Languages: English
• ISBNs: 9783319602318; 3319602314; 3319602306; 9783319602301
• Related ISBNs: 9783319602301
• Notes: Note: Includes bibliographical references and indexes.; Note: Vendor-supplied metadata.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.