I am working on $\mathbb R ^d$ equipped with the usual Euclidean metric. I know of one nice base for $\mathcal W _t$, namely: $$\left\{ B_p (r) : r>0, p=\sum_{i=1} ^n \alpha_i \delta_{x_i},\text{ for some }n\in\mathbb N, x_i \in \mathbb Q ^d, \alpha_i \in \mathbb Q, \alpha_i \text{ summing up to one} \right\}$$ i.e. open balls centered around Dirac masses on rational points with rational coefficients. Can one get a more explicit base? Any other bases you know of?
Many thanks in advance!
