Some more notions of homomorphism-homogeneity
Combinatorics
2014-08-12 v1
Abstract
We extend the notion of 'homomorphism-homogeneity' to a wider class of kinds of maps than previously studied, and we investigate the relations between the resulting notions of homomorphism-homogeneity, giving several examples. We also give further details on related work reported in [Deborah Lockett and John K Truss, Generic endomorphisms of homogeneous structures, in 'Groups and model theory', Contemporary Mathematics 576, ed Strungmann, Droste, Fuchs, Tent, American Mathematical Society, 2012, 217-237] about the endomorphisms of chains and generic endomorphisms of tree.
Keywords
Cite
@article{arxiv.1408.2393,
title = {Some more notions of homomorphism-homogeneity},
author = {Deborah Lockett and John K. Truss},
journal= {arXiv preprint arXiv:1408.2393},
year = {2014}
}
Comments
15 pages