5 papers
Hall's universal group does not have finite big Ramsey degrees
Dragan Mašulović, Veljko Toljić
In this paper we show that the Hall's universal group does not have finite big Ramsey degrees. Our strategy consists of piggybacking on the recent result of Hubička, Konečný, Todor…
On 2-generated minimal Taylor algebras of size 4
Zarathustra Brady, Petar Đapić, Vukašin Đinović +4
We prove that any 2-generated minimal Taylor algebra on a domain of size 4 is not simple. In addition, we find all such algebras up to isomorphism and term-equivalence.
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…
Conant's Metric Spectra Problem
Veljko Toljić
In this paper, we try to minimize the scope of possible unique metric spectra up to equivalence. While it is well known that every spectra is equivalent t…
About a sequence of points and a relationship between pencils of conics and circles in the Euclidean plane
Andrija Živadinović, Veljko Toljić
For a given triangle , we define two sequences of points on line and provide their generalizations to real functions such that centers of circumscribed circles…