I want to know the answer to the following question:
What did Khubilai claim for a while?
All the background I'm provided with is that "Though he had, by the early 1260s, become closely identified with China, he still, for a time, claimed universal rule", and yet "despite his successes in China and Korea, Khubilai was unable to have himself accepted as the Great Khan".". Is that enough to answer the question?
Answer: yes