Comprehensive in its selection of topics and results, this self-contained text examines the relative strengths and consequences of the axiom of choice. Each chapter contains several problems, graded according to difficulty, and concludes with some historical remarks.
An introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent chapters examine embedding theorems, models with finite supports, weaker versions of the axiom, and nontransferable statements. The final sections consider mathematics without choice, cardinal numbers in set theory without choice, and properties that contradict the axiom of choice, including the axiom of determinacy and related topics
An introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent chapters examine embedding theorems, models with finite supports, weaker versions of the axiom, and nontransferable statements. The final sections consider mathematics without choice, cardinal numbers in set theory without choice, and properties that contradict the axiom of choice, including the axiom of determinacy and related topics
Pagine: 224
Categoria: Matematik
e-ISBN: 9780486318257
Peso di spedizione: 1.2 kg
Spedito in: 1-2 giorni
Paga facilmente con carta, Klarna, Apple Pay o Google Pay. Non sei soddisfatto? Hai sempre 14 giorni per il rimborso. Leggi di più nei nostri termini. Per qualsiasi domanda, scrivici a hello@memmo.org.
Memmo rende lo studio più facile, ovunque tu sia nel mondo. Qui trovi i tuoi libri di testo e strumenti di studio intelligenti, tutto in un unico posto: riassunti, quiz, podcast e flashcard. E poi c'è Ted, il tuo compagno di studio che risponde a ogni tua domanda. Oltre 50.000 studenti studiano già qui: è stato creato per aiutarti a imparare più velocemente e a stressarti meno.
Potrebbe interessarti anche
Acquista il libro0