Short answers, pulled from the story.
King Daniel of Galicia founded the city of Lviv in 1250 to honor his son Lev. Archaeologists have found evidence that people settled this area as early as the fifth century before King Daniel built a stronghold there after Batu Khan invaded in 1240.
The First Partition of Poland in 1772 brought Lviv under Habsburg rule as Lemberg. Population grew from roughly 30,000 people in 1772 to 196,000 by 1910 while Austrian bureaucrats gave the city an orderly character by the 1840s.
About 75,316 Yiddish speakers lived there in 1931 swelling to nearly 100,000 by 1941. Most Jews were killed or deported to Belzec extermination camp during the Holocaust leaving only 200 to 800 survivors by war's end.
Lviv officially became part of the Soviet Union in February 1946 after border agreements signed the 16th of August 1945. The city gained nickname Banderstadt meaning city of Stepan Bandera reflecting Soviet perceptions of western Ukraine which residents adopted sarcastically over time creating pride among natives.
Over 24,000 IT specialists worked here as of 2019 with expected sector growth reaching 20% by 2020. Total industrial production sales amounted to UAH 24.2 billion in 2015 up 39% from earlier figures while housing construction volume grew threefold to 377,900 square meters during Q1 2019.