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Inverse limits of finite graphs

Prelegent(ci)
Szymon Głąb
Afiliacja
Institute of Mathematics Technical University of Łódź
Termin
4 grudnia 2019 16:15
Pokój
p. 5050
Tytuł w języku angielskim
joint project with Stefan Geschke and Wiesław Kubiś
Seminarium
Seminarium „Topologia i teoria mnogości”

The random graph R is the unique countable graph which contains isomorphic copies of all countable graphs and is homogeneous in the sense that every isomorphism between its finite subgraphs extends to an automorphism of R. Actually, the existence, universality and uniqueness of the random graph follows from model-theoretic Fraisse theory. We study a projective counterpart of the random graph, that is, a graph represented as an inverse limit of finite graphs which would be projectively homogeneous with respect to finite graphs.