Definition of Coanalytic. Meaning of Coanalytic. Synonyms of Coanalytic

- 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...
- spaces. Just beyond the Borel sets in complexity are the analytic sets and coanalytic sets. A subset of a Polish space X is analytic if it is the continuous...
- Borel Σ1 1 = lightface analytic Π1 1 = lightface coanalytic Σ1 1 = A = analytic Π1 1 = CA = coanalytic Δ1 2 Δ1 2 Σ1 2 Π1 2 Σ1 2 = PCA Π1 2 = CPCA Δ1 3...
- Borel Σ1 1 = lightface analytic Π1 1 = lightface coanalytic Σ1 1 = A = analytic Π1 1 = CA = coanalytic Δ1 2 Δ1 2 Σ1 2 Π1 2 Σ1 2 = PCA Π1 2 = CPCA Δ1 3...
- Borel Σ1 1 = lightface analytic Π1 1 = lightface coanalytic Σ1 1 = A = analytic Π1 1 = CA = coanalytic Δ1 2 Δ1 2 Σ1 2 Π1 2 Σ1 2 = PCA Π1 2 = CPCA Δ1 3...
- hierarchy). The complements of analytic sets are called coanalytic sets, and the set of coanalytic sets is denoted by Π 1 1 {\displaystyle {\boldsymbol {\Pi...
- set Diophantine set Hyperarithmetical set Analytical set Analytic set, Coanalytic set Suslin set Projective set Inhabited set Multiset List of set identities...
- said to be coanalytic if its complement is an analytic set. Silver's dichotomy is a statement about the equivalence classes of a coanalytic equivalence...
- Borel Σ1 1 = lightface analytic Π1 1 = lightface coanalytic Σ1 1 = A = analytic Π1 1 = CA = coanalytic Δ1 2 Δ1 2 Σ1 2 Π1 2 Σ1 2 = PCA Π1 2 = CPCA Δ1 3...
- standard Borel spaces (which says that a set that is both analytic and coanalytic is necessarily Borel), the inverse of any such measurable bijective function...