Continuity in Probability 
Could someone give me a simple explanation of property 4?
Context: Currently learning a bit of financial mathematics on my own to see if it is a field I really want to get into. The first 3 properties make it a stochastic process but the 4th condition I am unfamiliar with. The fourth property to me seems to limit how big the growth from one point to another is, but I am unsure if the interpretation is correct or not.

Here is a simple explanation:
It serves to exclude process with jumps at fixed (nonrandom) times.
See P68 of R. Cont/P.Tankov
