The I-density topology TI on
R is a refinement of the
natural topology. It is a category analogue of the density topology.
This paper is concerned with I-density continuous functions; i.e.,
the real functions that are continuous when the I-density topology is used
on the domain and the range. It is shown, that the family
CI of ordinary continuous functions
which have at least one point of
I-density continuity is a first category subset of
LaTeX 2e source file.
To handle the picture requires epsf.tex and oldpic.ps (picture).
Last modified May 1, 1999.