  This is an English translation of "The Problem of Resolvents and Critical
Manifolds" by Tschebotarow/Chebotarev. In this article, Chebotarev explains his
work on resolvent problems using critical manifolds. The current ideas of
resolvent degree and essential dimension arose out of the resolvent problems
Chebotarev addresses here.
  Original abstract by Chebotarev: "This paper is devoted to the study of the
problem of resolvents, i.e., the problem of finding the resolvent by a given
equation, whose coefficients depend on several independent parameters, the
number of parameters in the coefficients being as small as possible. The author
connects the problem to the study of critical manifolds in the space of
equation parameters."
