Errata -- A determinacy approach to Borel combinatorics

• In the definition of non-independent before Lemma 2.3, $n \geq 2$ should be replaced with $n \geq 1$. Thanks to Alexander Kastner for pointing out this typo!
• The last sentence of the proof of Lemma 2.1 should be replaced by the following: "This is because $\ran(f)$ is $\Gamma$-invariant, the $\Gamma$-orbits containing $A$ and $C$ are disjoint ($A$ is a subset of $\Free(\N^{\Gamma * \Delta})$, and $C$ is disjoint from it), and $C$ does not contain any nonempty $\Gamma$-invariant sets by definition." In particular, it is not correct to say that $A$ is $\Gamma$-invariant. Thanks very much to Mathis Brüggemann for pointing out this error!
• In the proof of (2) implies (3) in Theorem 4.7, the set D_0 should be defined to be $D_0 = \{(x,y) : \{x,y\} in B and x < y\} \cup \{(x,y) : \{x,y\} \in B^c and x > y\}$. (The second half of this definition was missing). Thanks very much to Mathis Brüggemann for pointing out this error!