Vaught's Conjecture for Sums of Products of Rooted Trees

Miloš S. Kurilić

We confirm Vaught's conjecture for each partial order $\mathbb{X}={\sum }_{\mathbb{I}}{\prod }_{j<m_i}{\mathbb{X}}_{i,j}$ from the closure $\langle \langle {\mathcal C}^{\rm rt}\rangle…