Karim al-Dīn Ḳarāmān Beg was a Turkoman chieftain who ruled the Karamanids in the 13th century. Ḳarāmān Beg's emergence coincides with the defeat of the Sultanate of Rum by the Mongol Empire in 1256 and the tension between Kaykaus I and his rival brother Kilij Arslan IV, which allowed local lords living along the boundaries of the state to exercise some autonomy.
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Karaman Bey in the context of Mehmet I of Karaman
Shams al-Dīn Meḥmed I Beg (Turkish: Şemseddin Mehmed Bey; died 20 June 1277 or 30 May 1279) was Beg of the Ḳarāmān from 1263 until his death. Ḳarāmān was a Turkish principality in Anatolia in the 13th century. His father was Karaman Bey.
View the full Wikipedia page for Mehmet I of Karaman