Milovs S. Kurili'c

activity

20172026

most citedReversible Sequences of Cardinals, Reversible Equivalence Relations, and Similar Structures

1 citations · 1 across the 12 of their papers we have counts for

collaborators

13 papers

math.LO2026

Vaught's Conjecture for Unions of Products of Rooted Trees

Miloš S. Kurilić

Let $C^{rt}$ be the class of rooted trees and $⟨ C^{rt} ⟩_{\cup ˙ Π}$ its minimal closure under isomorphism, finite direct products…

math.LO2026

Vaught's Conjecture and Theories of Partial Order Admitting a Finite Lexicographic Decomposition

Miloš S. Kurilić

A complete theory $T$ of partial order is an FLD $_{1}$ -theory iff some (equivalently, any) of its models $X$ admits a finite lexicographic decomposition ${\mathb…

math.LO2024

Weakly Boolean maximal chains of homeomorphic topologies

Miloš Kurilić, Boriša Kuzeljević

If $λ < κ$ are infinite cardinals, a linear order $L$ is isomorphic to a maximal chain in $[κ]^{κ ∣ κ}$ (resp. $[κ]^{λ ∣ κ}$ ; $[κ]^{κ ∣ λ}$ ) iff $L$ is weakly Boolean, the weight of all in…

math.GN2024

Closed sets in a generalization of the Alexandrov cube

Miloš S. Kurilić, Aleksandar Pavlović

We continue work on the topology obtained by the convergence $λ_{l s}$ , which started in \cite{KuPaCZ}, and further investigated in \cite{KuPaFil19}. The main goal is to describe th…

math.GN2024

Partial Orders of Bijectively Related or Homeomorphic Topologies

Aleksandar Janjoš, Miloš S. Kurilić

Topologies $τ, σ \in Top_{X}$ are bijectively related, in notation $τ \sim σ$ , if there are continuous bijections $f : (X, τ) \to (X, σ)$ and $g: (X,…

math.GN2024

Weakly and Strongly Reversible Spaces

Miloš S. Kurilić

A topological space $X$ is reversible iff each continuous bijection (condensation) $f : X \to X$ is a homeomorphism; weakly reversible iff w…

math.LO2024

Reduced Products of Collapsing Algebras

Miloš S. Kurilić

$rp (B)$ denotes the reduced power $B^{ω} /Φ$ of a Boolean algebra $B$ , where $Φ$ is the Fréchet filter $Φ$ on $ω$ . We investigate…

math.LO2024

Forcing With Copies of Uncountable Ordinals

Miloš S. Kurilić

For a relational structure $X$ we investigate the partial order $⟨ P (X), \subset ⟩$ , where ${\mathbb P} ({\mathbb X}):=\{ f[X]: f\in \mat…

math.LO2023

Reversible and Irreversible Trees

Miloš S. Kurilić

A tree $T = ⟨ T \leq ⟩$ is reversible iff there is no order $≼  \leq$ such that $T ≅ ⟨ T, ≼ ⟩$ .…

math.LO2022

Connected Reduced Products

Miloš S. Kurilić

If $ρ$ is a binary relation on a set $X$ , the structure $X = ⟨ X, ρ ⟩$ is connected iff the minimal equivalence relation containing $ρ$ is the full relation on $X…

math.GN2018

The Left, the Right and the Sequential Topology on Boolean Algebras

Miloš S. Kurilić, Aleksandar Pavlović

For the algebraic convergence $λ_{s}$ , which generates the well known sequential topology $τ_{s}$ on a complete Boolean algebra $B$ , we have $λ_{\mathrm{s}}=λ_{\ma…

math.LO2018

Back and Forth Systems of Condensations

Miloš S. Kurilić

If $L$ is a relational language, an $L$ -structure $X$ is condensable to an $L$ -structure $Y$ , we write $X ≼_{c} Y$ , iff there is a…

math.LO2017★ 1 cited

Reversible Sequences of Cardinals, Reversible Equivalence Relations, and Similar Structures

Miloš S. Kurilić, Nenad Morača

A relational structure $X$ is said to be reversible iff every bijective endomorphism $f : X \to X$ is an automorphism. We define a sequence of non-zero cardinals $\l…