Homogeneity of linear spaces

Speaker(s)

Wiesław Kubiś

Affiliation

Institute of Mathematics of the Czech Academy of Sciences and Cardinal Stefan Wyszyński University in Warsaw

Date

June 8, 2022, 4:15 p.m.

Room

room 4420

Seminar

Topology and Set Theory Seminar

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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.

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