In Viscosity Solutions of Fully Nonlinear Parabolic Path Dependent PDEs: Part I they define (on page 4) a metric :

$${\bf d}_\infty ((t,\omega),(t',\omega')) := |t-t'| + \|\omega_{.\wedge t}-{\omega'}_{.\wedge t'}\|_{T^.}$$

where :

$$\|\omega\|_t := \sup_{0\leq s \leq t}|\omega_s|$$

What do the dots in $.\wedge t$ and $T^.$ signify?