A set Q is a faithful homogeneous space over a commutative group iff there is a family S of mappings such that (Q,S) is a TST-space.
@article{urn:eudml:doc:38990,
title = {Faithful homogeneous spaces over commutative groups and TST-spaces.},
journal = {Stochastica},
volume = {11},
year = {1987},
pages = {235-239},
zbl = {0674.20046},
mrnumber = {MR0990887},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38990}
}
Volenec, Vladimir. Faithful homogeneous spaces over commutative groups and TST-spaces.. Stochastica, Tome 11 (1987) pp. 235-239. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38990/