ETD

Archivio digitale delle tesi discusse presso l'Università di Pisa

Tesi etd-08282015-125746


Tipo di tesi
Tesi di laurea magistrale
Autore
BASSO, GIANLUCA
URN
etd-08282015-125746
Titolo
Quotients of projective Fraïssè limits
Dipartimento
MATEMATICA
Corso di studi
MATEMATICA
Relatori
relatore Prof. Camerlo, Riccardo
Parole chiave
  • projective
  • limits
  • graphs
  • Fraïssè
  • descriptive set theory
  • continuum
  • continua
  • Cantor Space
  • pseudo-arc
Data inizio appello
16/10/2015
Consultabilità
Completa
Riassunto
In my work with professor R. Camerlo we study the topological structures that are obtained as quotients of projective Fraïssé limits of finite discrete topological structures. The concept of projective Fraïssé limit was introduced in [2] and dualizes the notion of Fraïssé limit, developed by Fraïssé as a mean of obtaining structures with ω-categorical theories. Key results in this area where obtained by T.Irwin and S.Solecki in [2] and by R.Camerlo in [1], who characterized the quotients of the projective Fraïssé limits of finite graphs. More recent developments include [4] and [3] by Kwiatkowska. An important role is played by Continuum theory since the quotient of the projective Fraïssé limit of the class of finite linear graphs is the Pseudo-Arc, which is the unique hereditarily indecomposable chainable continuum. The goal of the thesis is to investigate the results that have been obtained to the case of arbitrary languages containing a binary relation symbol that is interpreted as a graph-like relation.

References
[1] Riccardo Camerlo, Characterising quotients of projective Fraïssé limits, Topology Appl. 157 (2010), no. 12, 1980–1989. MR2646431 (2011h:54044)
[2] Trevor Irwin and S
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