Out-lying is a term used to describe something located far away from the center or main area. Its antonyms refer to the opposite, meaning something that is close or near the center. These antonyms include terms like central, innermost, core, centralmost, or downtown. The importance of using these antonyms in writing or speaking is to convey information about the location of something relative to its center. For instance, instead of saying, "The outlying area of the city has limited public transportation," one could say, "The core of the city has extensive public transportation." Using antonyms for out-lying helps to add clarity and precision to one's communication.