The actual research that you’re giving Taiwan credit for is US research. There’s a reason the US was able to tell the Dutch government “You can’t allow this hardware to go to China.”

The basic research for the Extreme Ultraviolet lithography was done at US DOE labs as a hedge against Japan dominating the world semiconductor supply. The US allowed a few companies in as part of the EUV-LLC private-public partnership, and ASML ended up buying out the other players who had the licenses from the US. The EU certainly had a hand in the research after the test bed was built proving it could work. www.sandia.gov/media/ultra.htm