Miloš S. Kurilić

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20172026

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10 papers · 1 filter

math.LO2026

Vaught's Conjecture for Sums of Products of Rooted Trees

Miloš S. Kurilić

We confirm Vaught's conjecture for each partial order $X = \sum_{I} \prod_{j < m_{i}} X_{i, j}$ from the closure $\langle \langle {\mathcal C}^{\rm rt}\rangle…

math.LO2024

Copies of Monomorphic Structures

Miloš S. Kurilić

The poset of copies of a relational structure $X$ is the partial order $⟨ P (X), \subset ⟩$ , where ${\mathbb P} ({\mathbb X})=\{ Y\subset…

math.LO2023

Posets of Copies of Countable Ultrahomogeneous Tournaments

Miloš S. Kurilić, Stevo Todorčević

The poset of copies of a relational structure $X$ is the partial order ${\mathbb P} ({\mathbb X} ) := \langle \{ Y \subset X: {\mathbb Y} \cong {\mathbb X}\}, \subset \ra…

math.LO2023

Back and Forth Systems Witnessing Irreversibility

Miloš S. Kurilić

If $L$ is a relational language, then an $L$ -structure $X = ⟨ X, ρ ˉ ⟩$ is reversible iff there is no interpretation $σ ˉ  ρ ˉ$ such that the…

math.LO2019

Vaught's Conjecture for Almost Chainable Theories

Miloš S. Kurilić

A structure $Y$ of a relational language $L$ is called almost chainable iff there are a finite set $F \subset Y$ and a linear order $<$ on the set $Y ∖ F$ such tha…

math.LO2019

Antichains of Copies of Ultrahomogeneous Structures

Miloš S. Kurilić, Boriša Kuzeljević

We investigate possible cardinalities of maximal antichains in the poset of copies $⟨ P (X), \subset ⟩$ of a countable ultrahomogeneous relational structu…