He, the narrator (who I always imagine as Poe himself, though of course the voice belongs to a ‘made-up’ character), follows the man all that night and the following day, and all through that second day and into the next evening, at which point he finally gives up, exhausted and bewildered, intrigued by the fact that the man has not returned to a domicile of his own, nor interacted with any denizens of the city, but has merely walked and paced and stood and done nothing.