Accretion of in-falling material for a young main sequence star I'm reading material that is seemingly contradictory.  Some sources indicate that the evolution of a protostar to a main sequence star is characterised by a stellar wind that precludes the accretion of further in-falling material.  That is, the (young) star now has a constant mass.  However, other sources suggest that material may continue to accrete for a (brief) period after the protostar has become a main sequence star.  

Can someone please confirm the actual process?
At the end of the protostar phase a vigorous outflow from the star develops called the T-Tauri Wind and this could cut off accretion.  Eventually, it develops into a normal star and the strong wind dies down.  Material that was not totally blown away could then continue to  fall down and be accreted