We prove that every many-sorted ω-categorical theory is completely interpretable in a one-sorted ω-categorical theory. As an application, we give a short proof of the existence of non-G-compact ω-categorical theories.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-3-5, author = {Enrique Casanovas and Rodrigo Pel\'aez and Martin Ziegler}, title = {On many-sorted $\omega$-categorical theories}, journal = {Fundamenta Mathematicae}, volume = {215}, year = {2011}, pages = {285-294}, zbl = {1258.03035}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-3-5} }
Enrique Casanovas; Rodrigo Peláez; Martin Ziegler. On many-sorted ω-categorical theories. Fundamenta Mathematicae, Tome 215 (2011) pp. 285-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm214-3-5/