  For connected reductive linear algebraic structure groups it is proven that
every web is holonomically isolated. The possible tuples of parallel transports
in a web form a Lie subgroup of the corresponding power of the structure group.
This Lie subgroup is explicitly calculated and turns out to be independent of
the chosen local trivializations. Moreover, explicit necessary and sufficient
criteria for the holonomical independence of webs are derived. The results
above can even be sharpened: Given an arbitrary neighbourhood of the base
points of a web, then this neighbourhood contains some segments of the web
whose parameter intervals coincide, but do not include 0 (that corresponds to
the base points of the web), and whose parallel transports already form the
same Lie subgroup as those of the full web do.
