Why did hector remain outside of the city walls when the rest of the trojans retreated?

Hector remained outside the city walls to confront Achilles, driven by a sense of honor and duty as the Trojan champion. He believed that facing Achilles was essential to protect his people and uphold his reputation as a warrior. Additionally, Hector sought to avenge the death of his brother Patroclus, who had been killed by Achilles, further motivating him to stand his ground despite the odds. His decision ultimately reflected the values of bravery and loyalty prevalent in the epic.