S M A R T

Set-theoretic, model-theoretic and Ramsey-theoretic phenomena in mathematical structures: similarity and diversity
Science Fund of the Republic of Serbia, Grant No. 7750027




We use the synergy of the methods of

     
  • Set-theory
  • Model-theory
  • As well as
  • Ramsey-theory (combinatorics) and
  • Topology
 

We investigate

  • Theories and classes of their models (e.g. the models of first-order theories)
  • Similarities of structures and the corresponding classification
  • The structures of morphisms (as transformation monoids)
  • Particular relevant structures (e.g. Fraïssé limits, models of arithmetic)