I am mainly interested in Set theory. Currently I am working on extensions of divisibility to the Stone-Čech compactification and connections to nonstandard arithmetic.

 

The conference SetTop 2020 is postponed until August 2022. More info on www.dmi.uns.ac.rs/settop.

 

MSc thesis: "Ultrafiltri i ultraproizvodi" (in serbian) dvi.

PhD thesis: "Games on Boolean algebras" pdf.

Research papers:

Divisibility in the Stone-Čech compactification:

1.    Divisibility in the Stone-Čech compactification, Rep. Math. Logic 50 (2015), 53-66.

2.    Divisibility orders in the βN, Publ. Inst. Math. (Beograd) (N.S.) 107 (121) (2020), 37-44.

3.    ἶ-divisibility of ultrafilters, to appear in Ann. Pure Appl. Logic 172 (2021), No.1.

4.    Divisibility in βN and *N, Rep. Math. Logic 54 (2019), 65-82.

5.    More about divisibility in βN, MLQ Math. Log. Q. 67 (2021), No.1, 77-87.
6.    Congruence of ultrafilters, to appear in J. Symbolic Logic
7.    Multiplicative finite embeddability vs divisibility of ultrafilters, to appear in Arch. Math. Logic.

Games on Boolean algebras:

  1. (with Miloš Kurilić) A game on Boolean algebras describing the collapse of continuum, Ann. Pure Appl. Logic 160 (2009), No.1, 117-126.
  2. (with Miloš Kurilić) Power-collapsing games, J. Symbolic Logic 73 (2008), No.4, 1433-1457. 
  3. (with Miloš Kurilić) Four games on Boolean algebras, Filomat 30 (2016), No.13, 3389-3395.

Other:

  1. Partition properties on countable bipartite graphs, Miskolc Math. Notes 17 (2016), No.2, 1061-1066.
  2. Random bipartite graphs, Novi Sad Journal of Mathematics 44, (2014), No.2, 69-75.
  3. Inseparable sequences and forcing, Novi Sad Journal of Mathematics 43, (2013), No.2, 185-189.
  4. Higher order fixed points of normal functions and an application to ultrapowers of ordinals, Novi Sad Journal of Mathematics 38, (2008), No.1, 177-181.
  5. Ultraproducts of trees, partly published in Extended abstracts of 4th Panhellenic Logic Symposium, Thessaloniki 2003.