| LIEBERMAN, Michael, Jiří ROSICKÝ a Sébastien Bernard VASEY. Forking independence from the categorical point of view. Advances in Mathrmatics. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2019, roč. 346, APR 13 2019, s. 719-772. ISSN 0001-8708. Dostupné z: https://dx.doi.org/10.1016/j.aim.2019.02.018. |
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@article{1499820,
author = {Lieberman, Michael and Rosický, Jiří and Vasey, Sébastien Bernard},
article_location = {San Diego},
article_number = {APR 13 2019},
doi = {http://dx.doi.org/10.1016/j.aim.2019.02.018},
keywords = {forking; accessible category; stability; effective unions},
language = {eng},
issn = {0001-8708},
journal = {Advances in Mathrmatics},
title = {Forking independence from the categorical point of view},
url = {https://arxiv.org/abs/1801.09001},
volume = {346},
year = {2019}
}
TY - JOUR
ID - 1499820
AU - Lieberman, Michael - Rosický, Jiří - Vasey, Sébastien Bernard
PY - 2019
TI - Forking independence from the categorical point of view
JF - Advances in Mathrmatics
VL - 346
IS - APR 13 2019
SP - 719-772
EP - 719-772
PB - ACADEMIC PRESS INC ELSEVIER SCIENCE
SN - 00018708
KW - forking
KW - accessible category
KW - stability
KW - effective unions
UR - https://arxiv.org/abs/1801.09001
L2 - https://arxiv.org/abs/1801.09001
N2 - Forking is a central notion of model theory, generalizing linear independence in vector spaces and algebraic independence in fields. We develop the theory of forking in abstract, category-theoretic terms. In particular, we present an axiomatic definition of what we call a stable independence notion on a category and show that this is in fact a purely category-theoretic axiomatization of the properties of model-theoretic forking in a stable first-order theory.
ER -
LIEBERMAN, Michael, Jiří ROSICKÝ a Sébastien Bernard VASEY. Forking independence from the categorical point of view. \textit{Advances in Mathrmatics}. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2019, roč.~346, APR 13 2019, s.~719-772. ISSN~0001-8708. Dostupné z: https://dx.doi.org/10.1016/j.aim.2019.02.018.
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