Discrete n-tuples in Hausdorff spaces
Discrete n-tuples in Hausdorff spaces
We investigate the following three questions: Let $n\in {\mathbb N}$. For which Hausdorff spaces $X$ is it true that whenever ${\mit \Gamma }$ is an arbitrary (respectively finite-to-one, respectively injective) function from ${\mathbb N}^n$ to $X$, there