Giving one's name to something — a person or thing after whom something is named.
From Greek eponymos (giving one's name to), from epi- (upon) + onyma (name). In Athens, the "eponymous archon" was the magistrate after whom the year was named. Your name becoming a word is a form of immortality.
Some people become so identified with a thing that their name replaces the thing's name. Sandwich, cardigan, algorithm, boycott — all eponymous. Your name becoming a common noun is the most democratic form of immortality. You become a word everyone uses without knowing why.
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