7 papers
Corrigendum and Addendum to "Fra\"ıssé's Conjecture and big Ramsey degrees of structures admitting finite monomorphic decomposition''
Dragan Mašulović
In Section 6 of the paper ``Fra\"ıssé's Conjecture and big Ramsey degrees of structures admitting finite monomorphic decomposition'', we applied the methods developed in earlier se…
Big Ramsey combinatorics of the Cantor set and a simple proof of Blass' perfect set theorem
Dragan Mašulović
In this paper we present a simple approach to big Ramsey combinatorics of the Cantor set . Using Infinite Dual Ramsey Theorem of Carlson and Simpson, we show that , viewe…
On Ramsey degrees, compactness and approximability
Dragan Mašulović
One of the consequences of the Compactness Principle in structural Ramsey theory is that the small Ramsey degrees cannot exceed the corresponding big Ramsey degrees, thereby justif…
Classes of finite relational structures over finite languages have dual Ramsey degrees
Aleksa Džuklevski, Dragan Mašulović
Classical Ramsey theory has successfully extended to relational structures, yielding a wealth of results that have profoundly influenced other areas of mathematics. Interestingly,…
Ramsey degrees and entropy of combinatorial structures
Dragan Mašulović
Close connections between various notions of entropy and the apparatus of category theory have been observed already in the 1980s and more vigorously developed in the past ten year…
The Kechris-Pestov-Todor\vcević correspondence from the point of view of category theory
Dragan Mašulović
The Kechris-Pestov-Todorčević correspondence (KPT-correspondence for short) is a surprising correspondence between model theory, combinatorics and topological dynamics. In this pap…