The way I understand it, the region has gone back and forth between various countries over the centuries. My Great-Uncle fought for Austria-Hungary.
Tried to go in the early 80's but my father would not let me because of the communists. I understand it is beautiful.
Yeah, Lviv, Lvov, Lwow, Lwiw, whatever, is indeed a beautiful city.
When I was there, there was a scandal because one of the "ex"-Communists, a leader of the city, had a medieval cobble-stoned street torn up so he could build a castle-like mansion for himself with the stones.
That was a "thing" about the crimina--er, the "ex"-Communists in the former Soviet Union; they were infatuated, absolutely infatuated, with medieval-castle architecture.
This was in 1993-1994-1995-1996; I was so isolated that it was not until April 1995, for example, that I learned the Republicans had gained control of Congress (November 1994) and that Nebraska had won the national championship in college football (January 1995).