We present an regular space that is not completely regular but only barely so: not only is it first-countable, but in addition all closed sets are $G_\delta$-sets and all points are zero-sets. This answers a question about how the lattice of zero-sets is situated in the lattice of all open sets.

Some intermediate results on the Niemytzki plane make excellent homework exercises for a topology course.

The paper is, and the slides will be, available via my website