  It is known by a result of Mendes and Sampaio that the Lipschitz normal
embedding of a subanalytic germ is fully characterized by the Lipschitz normal
embedding of its link. In this note, we show that the result still holds for
definable germs in any o-minimal structure on $(\mathbb{R}, + , .)$. We also
give an example showing that for homomorphisms between MD-homologies induced by
the identity map, being isomorphic is not enough to ensure that the given germ
is Lipschitz normally embedded. This is a negative answer to the question asked
by Bobadilla et al. in their paper about Moderately Discontinuous Homology.
