Meager forking and \(m\)-independence
type: Item
instance of: scholarly article
title: Meager forking and \(m\)-independence
zbMATH Open document ID: 0907.03015
author: Ludomir Newelski
published in: Documenta Mathematica
publication date: 1998-08-06T00:00:00Z
full work available at URL: https://eudml.org/doc/223611
full work available at URL: Newelski.MAN.html
review text: Superstable theories \(T\) in a countable first-order language are considered. Vaught's conjecture for such theories says that if \(T\) has \(<2^{\aleph_0}\) countable models, then \(T\) has countably many of them. An important problem arising in the context of Vaught's conjecture is to describe the ways in which a type in \(T\) may be non-isolated (in the topological structure of the space of types), and to describe the sets of stationarizations of such a type. The author describes meager forking, \(m\)-independence and related notions intended for classifying countable models of \(T\).
Mathematics Subject Classification ID: 03C45
Mathematics Subject Classification ID: 03C15
zbMATH DE Number: 1184261
zbMATH Keywords: superstable theory
zbMATH Keywords: classification of countable models
zbMATH Keywords: Vaught's conjecture
zbMATH Keywords: meager forking
zbMATH Keywords: \(m\)-independence
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1184261