Is hector the breaker of horses a stock epithet?

Yes, "Hector the breaker of horses" is an example of a stock epithet. In ancient epic poetry, stock epithets are descriptive phrases used to characterize a person or object, often appearing repeatedly throughout the text. In this case, the phrase emphasizes Hector's prowess in battle and his role as a leader, highlighting his skills in taming and managing horses, which were crucial in warfare.