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• W2937960299 abstract "We use a variation on Mason's $alpha$-function as a pre-dimension function to construct a not one-based $omega$-stable plane $P$ (i.e. a simple rank $3$ matroid) which does not admit an algebraic representation (in the sense of matroid theory) over any field. Furthermore, we characterize forking in $Th(P)$, we prove that algebraic closure and intrinsic closure coincide in $Th(P)$, and we show that $Th(P)$ fails weak elimination of imaginaries, and has Morley rank $omega$." @default.
• W2937960299 created "2019-04-25" @default.
• W2937960299 creator A5090107903 @default.
• W2937960299 date "2017-09-20" @default.
• W2937960299 modified "2023-09-27" @default.
• W2937960299 title "A New $omega$-Stable Plane." @default.
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• W2937960299 hasPublicationYear "2017" @default.
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