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math.LO2024
Fraïssé's Conjecture and big Ramsey degrees of structures admitting finite monomorphic decomposition
Dragan Mašulović, Veljko Toljić
In this paper we show that a countable structure admitting a finite monomorphic decomposition has finite big Ramsey degrees if and only if so does every monomorphic part in its min…
math.LO2023
A short note on the characterization of countable chains with finite big Ramsey spectra
Keegan Dasilva Barbosa, Dragan Mašulović, Rajko Nenadov
In this short note we confirm the deep structural correspondence between the complexity of a countable scattered chain (= strict linear order) and its big Ramsey combinatorics: we…
math.LO2022
From Ramsey degrees to Ramsey expansions via weak amalgamation
Dragan Mašulović, Andy Zucker
Under no additional assumptions, in this paper we construct a Ramsey expansion for every category of finite objects with finite small Ramsey degrees. Our construction is based on t…