Milovs S. Kurili'c

collaborators

6 papers

math.LO2026

Vaught's Conjecture for Unions of Products of Rooted Trees

MiloÅ¡ S. KuriliÄ

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

math.LO2026

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

MiloÅ¡ S. KuriliÄ

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

MiloÅ¡ KuriliÄ, BoriÅ¡a KuzeljeviÄ

If $I^» < I^º$ are infinite cardinals, a linear order $L$ is isomorphic to a maximal chain in $[I^º]^{I^º∣ I^º}$ (resp. $[I^º]^{I^»∣ I^º}$ ; $[I^º]^{I^º∣ I^»}$ ) iff $L$ is weakly Boolean, the weigh…

math.GN2024

Closed sets in a generalization of the Alexandrov cube

MiloÅ¡ S. KuriliÄ, Aleksandar PavloviÄ

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

math.GN2024

Partial Orders of Bijectively Related or Homeomorphic Topologies

Aleksandar JanjoÅ¡, MiloÅ¡ S. KuriliÄ

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

math.GN2024

Weakly and Strongly Reversible Spaces

MiloÅ¡ S. KuriliÄ

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