The antonyms for the word "request" are "refusal," "rejection," "denial," "disapproval," and "dislike." When someone refuses a request, they turn it down or decline it. A rejection is a refusal of an offer or a proposal, and often implies disappointment. Denial refers to a refusal to grant permission or access to something. When someone expresses disapproval, they indicate a negative opinion or judgment, often regarding a request or proposal. Finally, "dislike" denotes an absence of affection or fondness, indicating that someone does not enjoy or appreciate a request or an invitation. Despite the negative connotations of these antonyms, they are necessary for a well-rounded vocabulary.