On two questions of the theory of retracts

We establish that condition $(\Gamma)$ on brick decomposition is indecomposable. This answers K. Borsuk's question [1]. We prove that there exist metric spaces $X$ and $Y$ and a point $(a,b)\in X\times Y$ such that $(a,b)$ is an $r$-point of the product $X\times Y$; moreover, $a$ is not an $r$-point of $X$. This answers A. Kosinski's question [2].