On the ideal (ν0)

The sigma-ideal (nu(0)) is associated with the Silver forcing, see [5]. Also, it constitutes the family of all completely doughnut null sets, see [9]. We introduce segment topologies to state some resemblances of (nu(0)) to the family of Ramsey null sets. To describe add(nu(0)) we adopt a proof of Base Matrix Lemma. Consistent results are stated, too. Halbeisen's conjecture cov(nu(0))= add(nu(0)) is confirmed under the hypothesis t = min{cf(c);r}. The hypothesis conv(nu(0)) = omega(1) implies that (nu(0)) has the ideal type (c, omega(1), c).