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/