The fact that the Turkish Khans are the heirs of Rome, and the fact that they are Kaisers?

Depiction of the Turkish Emperor, the lord of 3 continents

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In 1453, Mehmed the Conqueror styled himself as 'Kaiser-i Rum' ('Caesar of the Romans')
The fact that the Turkish Khans are the heirs of Rome, and the fact that they are Kaisers?
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