We answer some questions from  by giving suitable examples of small Polish structures. First, we present a class of small Polish group structures without generic elements. Next, we construct a first example of a small non-zero-dimensional Polish $G$-group.
"New examples of small Polish structures." J. Symbolic Logic 78 (3) 969 - 976, September 2013. https://doi.org/10.2178/jsl.7803140