The induced continuous,
differentiable, or analytic fibering about any point of a continuous, differentiable, or
analytic group A, by a subgroup B is well known, as are generalizations to various
spaces with operators. One may ask about analogous results for varieties per se. For
instance, if C is any arc in E2 and p ∈ C, then there is always a homeomorphism φ
from a neighborhood U of p to I × I(I = (0,1)), so that φ(U ∩ C) = I ×{}. But
there are arcs in Es which are so wildly embedded that at no point of the arc is there
an analogous fibering. This paper considers a general fibration problem for
complexanalytic varieties, and extends a result on fibering hypersurfaces due to
Hassler Whitney.
