Some properties of the spaces $T(k,\tau)$ and $S(k,\tau)$

The properties of two families of $h$-homogeneous Borel sets $\{T(k,\tau)\colon\omega\leq\tau\leq k\}$ and $\{S(k,\tau)\colon\omega\leq\tau\leq k\}$ are studied. The sets of the former family are obtained as the result of taking the union of the Baire space $B(k)$ and the $\sigma$-discrete space $Q(k)$, while the sets of the latter family are obtained as the result of taking the union of the spaces $B(k)$ and $Q(k)\times C$. We prove theorems on the embedding of these sets into absolute Souslin sets as closed subsets.