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- W2769152172 abstract "We observe that Hall's free projective extension $P mapsto F(P)$ of partial planes is a Borel map, and use a modification of the construction introduced in [9] to conclude that the class of countable non-Desarguesian projective planes is Borel complete. In the process, we also rediscover the main result of [7] on the realizability of every group as the group of collineations of some projective plane. Finally, we use classical results of projective geometry to prove that the class of countable Pappian projective planes is Borel complete." @default.
- W2769152172 created "2017-12-04" @default.
- W2769152172 creator A5090107903 @default.
- W2769152172 date "2017-11-16" @default.
- W2769152172 modified "2023-09-27" @default.
- W2769152172 title "The Class of Countable Projective Planes is Borel Complete" @default.
- W2769152172 hasPublicationYear "2017" @default.
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