It is known that for a first return system of paths $\{R_x:x\in[0,1]\}$, the right path systems $R^+$ ( the left path system $R^-$) is right ( is left ) continuous and $R$ satisfies the IIC property. In this paper we consider path systems that are continuous and satisfy IIC and investigate the possibility of containing first return path systems. We also study the effect of turbulence on trajectories by treating them as sequences.
Real Anal. Exchange
31(1):
271-284
(2005-2006).