Penazzi, Davide, Boxall, Gareth, Kestner, Charlotte, Omar Aziz, Alexandra and Bradley-Williams, David (2013) Weak One-Basedness. Notre Dame Journal of Formal Logic, 54 (3-4). pp. 435-448.
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Official URL: http://projecteuclid.org/euclid.ndjfl/1376053772
We study the notion of weak one-basedness introduced in recent work of Berenstein and Vassiliev. Our main results are that this notion characterizes linearity in the setting of geometric þ-rank 1structures and that lovely pairs of weakly one-based geometric þ-rank 1 structures are weakly one-based with respect to þ-independence. We also study geometries arising from infinite-dimensional vector spaces over division rings.
|Uncontrolled Keywords (separate with ;):||stability theory, thorn-forking, independence, one-based, geometric theory, local modularity|
|Subjects:||Mathematics > Pure mathematics|
|Schools:||Faculty of Science and Technology > School of Physical Sciences and Computing > Jeremiah Horrocks Institute|
|Deposited By:||Nuala Jones|
|Deposited On:||04 Jun 2014 08:26|
|Last Modified:||17 May 2016 12:48|
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