Combinatorial Set Theory
-15%
portes grátis
Combinatorial Set Theory
With a Gentle Introduction to Forcing
Halbeisen, Lorenz J.
Springer International Publishing AG
06/2019
594
Mole
Inglês
9783319868127
15 a 20 dias
926
Descrição não disponível.
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
axiom of choice;Banach-Tarski paradox;cardinal characteristics;combinatorics of forcing;forcing constructions;forcing technique;infinite combinatorics;Martin's axiom;permutation models;Ramsey theory;Ramsey ultrafilters;set theory;Suslin's problem;MSC (2010): 03E35, 03E17, 03E25, 05D10, 03E30, 03E50, 03E05;combinatorics
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
axiom of choice;Banach-Tarski paradox;cardinal characteristics;combinatorics of forcing;forcing constructions;forcing technique;infinite combinatorics;Martin's axiom;permutation models;Ramsey theory;Ramsey ultrafilters;set theory;Suslin's problem;MSC (2010): 03E35, 03E17, 03E25, 05D10, 03E30, 03E50, 03E05;combinatorics
