| Résume | In Diophantine approximation, it is a classical problem to determine the size of the sets related to $\psi$ approximable set for a given non-increasing function $\psi$. The exact $\psi$ approximable set is the set of numbers that are $\psi$ approximable and not approximable to a better order than $\psi$. Bugeaud determined the Hausdorff dimension of the exact $\psi$ approximable set answering a question posed by Beresnevich, Dickinson, and Velani. In this talk, I will present the results on this exact approximation problem in general metric measure spaces satisfying certain conditions. This is joint work with Anish Ghosh and Debanjan Nandi. |
