  We use observations of the neutral atomic hydrogen (HI) 21-cm emission line
to study the spatial distribution of the HI gas in a
80$\degree\times~$90$\degree$ region of the Galaxy halo. The HI column
densities in the range of \mbox{3--11$\times$10$^{20}$ cm$^{-2}$} have been
estimated for some of the studied regions. In our map---obtained with a
spectral sensitivity of $\sim$2 K---we do not detect any HI 21-cm emission line
{above 2$\sigma$} at Galactic latitudes higher than $\sim${46}$\degree$. {This
report summarizes our contribution presented at the conference on the origin
and evolution of barionic Galaxy halos}.
