On special partial types and weak canonical bases in simple theories

Ziv Shami

Fundamenta Mathematicae (2013)

  • Volume: 220, Issue: 1, page 1-6
  • ISSN: 0016-2736

Abstract

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We define the notion of a weak canonical base for a partial type in a simple theory. We prove that members of a certain family of partial types, which we call special partial types, admit a weak canonical base; this family properly contains the family of amalgamation bases.

How to cite

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Ziv Shami. "On special partial types and weak canonical bases in simple theories." Fundamenta Mathematicae 220.1 (2013): 1-6. <http://eudml.org/doc/283171>.

@article{ZivShami2013,
abstract = {We define the notion of a weak canonical base for a partial type in a simple theory. We prove that members of a certain family of partial types, which we call special partial types, admit a weak canonical base; this family properly contains the family of amalgamation bases.},
author = {Ziv Shami},
journal = {Fundamenta Mathematicae},
keywords = {simple theory; canonical base; weak canonical base; forking; amalgamation base},
language = {eng},
number = {1},
pages = {1-6},
title = {On special partial types and weak canonical bases in simple theories},
url = {http://eudml.org/doc/283171},
volume = {220},
year = {2013},
}

TY - JOUR
AU - Ziv Shami
TI - On special partial types and weak canonical bases in simple theories
JO - Fundamenta Mathematicae
PY - 2013
VL - 220
IS - 1
SP - 1
EP - 6
AB - We define the notion of a weak canonical base for a partial type in a simple theory. We prove that members of a certain family of partial types, which we call special partial types, admit a weak canonical base; this family properly contains the family of amalgamation bases.
LA - eng
KW - simple theory; canonical base; weak canonical base; forking; amalgamation base
UR - http://eudml.org/doc/283171
ER -

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