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  Model theory is a field of mathematics that classifies and constructs
  structures with particular properties (particularly those expressible
  in first order logic). It describes classical mathematical
  objects in a broader context, abstracts their properties and studies
  connections between seemingly unrelated structures. 
  This work studies limits of Fraïssé classes with additional combinatorial
  and categorical properties. Fraïssé classes are frequently used in model 
  theory,
  both as a source of examples and to analyse particular ``generic'' structures.

  The notion of Fraïssé class and its limit is
  due to the French logician Roland Fraïssé. He also introduced the
  back-and-forth argument, a fundamental model theoretical method in 
  construction of elementarily equivalent structures, upon which
  Ehrenfeucht-Fraïssé games are based.

  The prototypical example for this paper is the random graph 
  \ref{definition: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 Hrushovski property and free amalgamation. Perhaps most importantly,
  the random graph has a so-called generic automorphism 
  \ref{definition:generic_automorphism}, which was first proved
  by Truss in \cite{truss_gen_aut}, where he also introduced the term. 

  The key Theorem \ref{theorem:key-theorem}
  says that a Fraïssé class with canonical amalgamation and weak Hrushovski
  property has a generic automorphism. The fact that such an automorphism
  exists in this case follows from the classical results of Ivanov \cite{ivanov_1999}
  and Kechris-Rosendal \cite{https://doi.org/10.1112/plms/pdl007}.
  In this work we show a new way to construct
  a generic automorphism by expanding the structures of the class by a (total)
  automorphism and considering limit of such extended Fraïssé class. We achieve
  this by using the Banach-Mazur games, a well known method in the descriptive
  set theory, which proves useful in the study of comeagre sets.

  In section \ref{section:preliminaries} we introduce important notions from 
  descriptive set theory and category theory and prove the Banach-Mazur theorem. 
  Section \ref{section:fraisse_classes} is devoted to Fraïssé classes
  and describes canonical amalgamation. In section \ref{section:conjugacy_classes}
  we prove the main Theorem \ref{theorem:key-theorem} by showing a construction
  of generic automorphism of Fraïssé classes with WHP and canonical amalgamation. 
  Finally, in the section \ref{section:examples} we give examples 
  and anti-examples of Fraïssé classes with weak Hrushovski property and 
  canonical amalgamation.
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