Coanalytic set

In the mathematical discipline of descriptive set theory, a coanalytic set is a set (typically a set of real numbers or more generally a subset of a Polish space) that is the complement of an analytic set (Kechris 1994:87). Coanalytic sets are also referred to as ${\displaystyle {\boldsymbol {\Pi }}_{1}^{1}}$ sets (see projective hierarchy).