How would Western Europe be changed if the Mongols could conquer it? (This question of whether they could have is asked frequently enough I don't want to ask it again. Personally, I think so if Ogedei Khan didn't die, but it would have been difficult). Would greater connection to the East because of the Mongols have caused greater cross-cultural diffusion? Would the destruction caused by the Mongols have set back Europe? Other meaningful changes?