Why did the Byzantine Empire call themselves Romans?

Related questions

1. Why did the Romans move to Constantinople?
2. When did the Byzantines lose Italy?
3. Who defeated Roman Empire?
4. Who was the greatest sultan of the Ottoman Empire?
5. Why was 1453 a turning point in history?
6. How is the Byzantine Empire different from the Roman Empire?
7. How does Orthodox Christianity differ from Roman Catholicism?
8. What is the Byzantine empire best known for?
9. Why was the conquering of Constantinople in 1453 important?
10. How many times has Rome been sacked?

Tags

1. #changed
2. #greek
3. #changes
4. #fifth
5. #roman
6. #byzantine
7. #western
8. #eastern
9. #capital
10. #century
11. #christianity
12. #empire
13. #latin
14. #constantinople
15. #religion
16. #continuation
17. #official
18. #shifted
19. #language
20. #after