Final answer:
The allusion to "Ulysses" typically highlights a character's adventurous spirit and determination, drawing a parallel to the urge for continual exploration and experience.
Step-by-step explanation:
The importance of the allusion to the famous poem "Ulysses" by Lord Alfred Tennyson within a story serves to create a substantial layer of meaning. This allusion typically works to emphasize the character's adventurous spirit and determination, similar to the legendary figure of Ulysses (or Odysseus) known from Greek mythology and literature. Ulysses, in Tennyson's poem, is a character who longs for adventure and exploration despite his age, reflecting a refusal to succumb to the passivity of old age and the desire to strive for more. Therefore, when a character in a story is connected through an allusion to Ulysses, it is likely to underscore their relentless pursuit of experience and knowledge, as opposed to highlighting fears or mysteries.