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Homogeneity of linear spaces

Prelegent(ci)
Wiesław Kubiś
Afiliacja
Institute of Mathematics of the Czech Academy of Sciences and Cardinal Stefan Wyszyński University in Warsaw
Termin
8 czerwca 2022 16:15
Pokój
p. 4420
Seminarium
Seminarium „Topologia i teoria mnogości”

Linear spaces are basic incidence structures consisting of points and lines, These are in fact first order structures naturally encoded by a single ternary relation. We shall discuss homogeneity questions, namely, when every small partial isomorphism extends to an automorphism. We show that the only non-degenerate homogeneous linear spaces are the two smallest projective planes.
Joint work with P. Nowakowski and T. Rzepecki.