Yes, "Achilles" can have an apostrophe when indicating possession, as in "Achilles' heel." This usage signifies something belonging to Achilles. However, when referring to the character or name alone, no apostrophe is needed.
If you are indicating possession (Achilles' heal) use an apostrophe at the end of the word. If you are simply stating his name, there is no apostrophe.
Achilles
No. A spider is a spider and an apostrophe is an apostrophe.
Odysseus did not kill Achilles. Paris killed Achilles.
The Shield of Achilles
you've is the apostrophe of you have
The apostrophe for "they had" is "they'd".
Achilles often means the Achilles tendon, at the back of the heel.
The goddess of Achilles is actually the "Mother" of Achilles and the answer is Thetis (The Mother of Achilles)
No, Achilles is the leader of the Myrmidons.
The correct spelling is 'achilles'.
Achilles was shot in 1066