Achilles was the Achilles Achilles Achilles was the best fighter of the Greeks besieging Troy in the Trojan War. When Odysseus journeyed to the Underworld to seek the advice of the dead prophet Tiresias, he encountered the shade of Achilles. Achilles had killed the Trojan hero Hector, in single combat and was eventually killed by Hector's brother Paris. Paris didn't actually kill Achilles, it was mainly Apollo.
Paris shot an arrow and Apollo guided it to Achilles' one weak spot, his heel. Achilles wouldn't have even been vulnerable here, but when his mom, Thetis, dipped him into the river Styx to make him invulnerable. But Thetis forgot she was holding him by the heel and missed that spot while dipping him. Achilles doesn't have that much relevancy to the Odyssey but he was in the Trojan War at the very beginning. I chose Achilles because he was a really good warrior, but he wasn't completely invulnerable which means it was possible to kill him.
Though I think he could of lived longer if wouldn't of have been for Apollo. encyclopedia. com.