That capital was also the site of the Karatay Madrassa, and that rule, Kay-Qubad, made a strategic error by destroying the buffer state of Khwarezem.
A hospital complex built under the rule of this state was known in honor of the consumptive princess Gevher Nesibe. This country faced several attempts to seize the throne from the sons of a deposed ruler who had been exiled to the Crimea, Kaykaus. This state suffered a monumental defeat to Bayju's Mongol army at Kose Dag. A leader of this polity patronized the founding of the Mawlawiyah order in its capital by Rumi. That capital was also the site of the Karatay Madrassa, and that rule, Kay-Qubad, made a strategic error by destroying the buffer state of Khwarezem. This state was ruled from Konya and named for the fact that it occupied former Byzantine territory, and it was the political successor of the unorganized Seljuk armies. For 10 points, identify this eleventh to thirteenth century power which controlled Anatolia immediately prior to the rise of the Ottomans.
A hospital complex built under the rule of this state was known in honor of the consumptive princess Gevher Nesibe.
the {Sultanate} of {Rum}