In the paper we study transformations from **R**^{2} into **R**
and from **R**^{2} into **R**^{2} continuous with respect
to different density topologies on the domain and range.
In the former case the range will always be equipped with the
one-dimensional density topology and the domain with either
ordinary density or strong density topology. In the later case
the domain and the range will be equipped simultaneously
with the ordinary density or strong
density topology. We will investigate the relations between
these classes and with the class of ordinary continuous
transformations.
We will also examine relation between the (strong)
density continuity of f:**R**^{2}-->**R** and of
f(.,y), f(x,.). Similar question will be considered
for transformations
F=(f,g):**R**^{2}-->**R**^{2}
and their coordinate functions f and g.

Main **LaTeX 2e source file**
and four postscript picture files:
A.ps,
B.ps,
FA.ps, and
FB.ps.

**Requires rae.cls file**,
amsmath.sty, amssymb.sty, and epsf.sty.

**Last modified April 24, 1999.**