A New w-Stable Plane
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RIS BIB ENDNOTEA New w-Stable Plane
Publication date: 20.08.2020
Reports on Mathematical Logic, 2020, Number 55, pp. 87 - 111
https://doi.org/10.4467/20842589RM.20.005.12437Authors
A New w-Stable Plane
We use a variation on Mason’s α-function as a pre-dimension function to construct a not one-based ω–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 ω.
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Information: Reports on Mathematical Logic, 2020, Number 55, pp. 87 - 111
Article type: Original article
Titles:
A New w-Stable Plane
A New w-Stable Plane
Department of Mathematics “Giuseppe Peano”, University of Torino, Italy
Published at: 20.08.2020
Received at: 10.01.2020
Article status: Open
Licence: CC BY-NC-ND
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English