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

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Showing 2024Show all

6 papers · 1 filter

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…