  The Dirac-Yang monopoles are singular Yang--Mills field configurations in all
Euclidean dimensions. The regular counterpart of the Dirac monopole in D=3 is
the t Hooft-Polyakov monopole, the former being simply a gauge transform of the
asymptotic fields of the latter. Here, regular counterparts of Dirac-Yang
monopoles in all dimensions, are described. In the first part of this talk the
hierarchy of Dirac--Yang (DY) monopoles will be defined, in the second part the
motivation to study these in a topoical context will be briefly presented, and
in the last part, two classes of regular counterparts to the DY hierarchy will
be presented.
