  In this note we shortly recall the importance of last-hitting times in theory
and applications of optimal stopping. As a small contribution to this domain we
then propose a concise proof of David Williams' decomposition of the Bessel
Process of dimension 3 (BES(3)), starting from r > 0 at its ultimate minimum.
This discussion is strongly motivated by our interest in properties of last
hitting times in general, and here specifically, directly linked with the
forthcoming reading guide of Nikeghbali and Platen on this subject.
