In particular, I was trying to figure out if there was an already established name for what I have eventually found referred to as homogeneous structures (structures such that for any two $x$, $y$ in that structure, there is an automorphism bringing $x$ to $y$).
What I'm wondering is if there was some way to cut down the amount of time I spent looking for the name of the definition. Is there some easy way to find what a specific concept is called?
EDIT: Yeah I didn't know about the terminology tag. Problem essentially solved. But, if anybody else has other ideas, those would still be cool too!