Topics in Model Theory

Topics in Model Theory - Anand Pillay

Topics in Model Theory


The book has two chapters. The first chapter is a modern or contemporary account of stability theory. After a preliminary section on some of the basic techniques of model theory, the focus is on local (formula-by-formula) stability theory, treated a little differently from in the author's Geometric Stability Theory book. There is also a survey of general and geometric stability theory, as well as detailed applications to combinatorics (regularity lemma) using pseudofinite methods.The second chapter is an introduction to 'continuous logic' or 'continuous model theory', where truth values are real numbers, drawing on the main texts and papers, but with an independent point of view. This chapter also includes some historical background, a discussion of hyperimaginaries in classical first order model theory, as well as an introduction to local stability in the continuous framework making use of some functional analysis results from Grothendieck's thesis.These chapters are based on notes, written by students, from a couple of advanced graduate courses in Notre Dame, in Autumn 2018, and Spring 2021.
Citeste mai mult

-10%

transport gratuit

PRP: 260.40 Lei

!

Acesta este Pretul Recomandat de Producator. Pretul de vanzare al produsului este afisat mai jos.

234.36Lei

234.36Lei

260.40 Lei

Primesti 234 puncte

Important icon msg

Primesti puncte de fidelitate dupa fiecare comanda! 100 puncte de fidelitate reprezinta 1 leu. Foloseste-le la viitoarele achizitii!

Livrare in 2-4 saptamani

Descrierea produsului


The book has two chapters. The first chapter is a modern or contemporary account of stability theory. After a preliminary section on some of the basic techniques of model theory, the focus is on local (formula-by-formula) stability theory, treated a little differently from in the author's Geometric Stability Theory book. There is also a survey of general and geometric stability theory, as well as detailed applications to combinatorics (regularity lemma) using pseudofinite methods.The second chapter is an introduction to 'continuous logic' or 'continuous model theory', where truth values are real numbers, drawing on the main texts and papers, but with an independent point of view. This chapter also includes some historical background, a discussion of hyperimaginaries in classical first order model theory, as well as an introduction to local stability in the continuous framework making use of some functional analysis results from Grothendieck's thesis.These chapters are based on notes, written by students, from a couple of advanced graduate courses in Notre Dame, in Autumn 2018, and Spring 2021.
Citeste mai mult

S-ar putea sa-ti placa si

De acelasi autor

Parerea ta e inspiratie pentru comunitatea Libris!

Istoricul tau de navigare

Noi suntem despre carti, si la fel este si

Newsletter-ul nostru.

Aboneaza-te la vestile literare si primesti un cupon de -10% pentru viitoarea ta comanda!

*Reducerea aplicata prin cupon nu se cumuleaza, ci se aplica reducerea cea mai mare.

Ma abonez image one
Ma abonez image one