A "Jordan curve" refers to a simple, closed curve that doesn't intersect itself. This mathematical concept is key in topology, where it's used to describe the properties of various geometric shapes. When discussing Jordan curves, it's helpful to have a strong grasp of related synonyms such as "Jordan arc," "simple curve," and "loop." These terms are often used interchangeably and can help clarify various aspects of the curve in question. "Simple closed curve," "unoriented loop," and "boundary of a two-dimensional shape" are also related terms that may come up in discussions of Jordan curves. By understanding these synonyms, you can more easily navigate the complex world of topology and better understand geometric shapes.