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  Model theory is a field of mathematics that classify and construct
  structures with particular properties. It desribes classical mathematical
  objects in a broader context, abstract their properties and study
  connections between simingly unrelated structures. Roland Fraïssé was
  French logician who established many important notions in contemporary
  model theory. He was one of the first to utilize back-and-forth argument,
  a fundamental model theoretical method in construction of 
  elementary equivalent structures. The Ehrenfeuht-Fraïssé games is a 
  concept that proved useful in classical logic, model theory, but also
  finite model theory (which is a filed of theoretical informatics rather
  than mathematics). 

  This work study limits of Fraïssé classes with additional combinatorial
  and categorical properties. The key theorem \ref{theorem:generic_aut_general}
  says that a Fraïssé class with canonical amalgamation and weak Hrushovsky
  property has a generic automorphism. This result was known before,
  for example [DODAC GDZIE TO BYLO...]. However, we show a new way to construct
  a generic automorphism by extending the structures of the class by an
  automorphism and considering limit of such extended Fraïssé class. We achieve
  this by using the Banach-Mazur games, a well known objects of general topology
  which prove useful in study of comeager sets.

  The prototype structure of the paper is the random graph (also known as the 
  Rado graph), the Fraïssé limit of the class of finite undirected graphs.
  It serves as a useful example, gives an intuition of the Fraïssé limits,
  weak Hrushovsky property and free amalgamation.

   

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