Non-commutative groupoids obtained from the failure of $3$-uniqueness in stable theories
Logic
2015-04-30 v1
Abstract
We construct a possibly non-commutative groupoid from the failure of -uniqueness of a strong type. The commutative groupoid constructed by John Goodrick and Alexei Kolesnikov in \cite{GK} lives in the center of the groupoid. A certain automorphism group approximated by the vertex groups of the non-commutative groupoids is suggested as a "fundamental group" of the strong type.
Keywords
Cite
@article{arxiv.1504.07731,
title = {Non-commutative groupoids obtained from the failure of $3$-uniqueness in stable theories},
author = {Byunghan Kim and SunYoung Kim and Junguk Lee},
journal= {arXiv preprint arXiv:1504.07731},
year = {2015}
}
Comments
16 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1105.2921