Byzantine Empire Imperium Graecorum or Imperium Romanum??

[Enguerrand de Sarnéac]

Its like if Britain was conquered by Nazi Germany, and the British Government and Royal Family relocated to Canada or Australia, and remained the case for more than sixty years.

No, because the split occured before the foreign invasions. There is no one fleeing, or relocating for that matter

[Magister Militum Titus Pullo]

All I'm saying is that if the original homeland of an empire was overrun by the forces a foreign nation, then a new seat of government would be chosen if enough of its territories remained under its authority. I know that the Imperium Romanorum was continually divided and reunited before the reigns of Honorius and Arcadius. And even King Theodoric of the Ostrogoths rule of Italy on behalf of Emperor Zeno was a pretense of legality.

[Wolfman]

To me Byzantium as we now call it had the most legitimate claim of being roman so I consider them to be a second roman empire. The Venetians in my book come second place since they were decended from roman refugees.