In Hector’s imagined scenario of an outcome for his duel with a hero who is the ‘best of the Achaeans’, that hero, whom he will kill, is pictured as ‘striving to be the best’, as expressed by the verb aristeuein, I.07.090. The corresponding noun, not attested in Homeric diction, is aristeiā ‘epic high point’, on which see the comment on I.05.103.