Results 31 to 40 of about 184 (66)
The geometry of Hrushovski constructions, I: The uncollapsed case
, 2011 An intermediate stage in Hrushovski’s construction of flat strongly minimal structures in a relational language L produces ?-stable structures of rank ?. We analyze the pregeometries given by forking on the regular type of rank ? in these structures.
Ferreira, Marco S. +3 more
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Quasiminimality for holomorphic functions [PDF]
In [Zil97] Zilber conjectured that the complex exponential field is quasiminimal, i.e., all definable subsets are countable or cocountable. This conjecture led to a more general conjecture that extending the complex field with any unary entire function ...
Dmitrieva, Anna
core +4 more sources
Finding groups in Zariski-like structures [PDF]
, 2014 We study quasiminimal classes, i.e. abstract elementary classes (AECs) that arise from a quasiminimal pregeometry structure. For these classes, we develop an independence notion, and in particular, a theory of independence in $M^{eq}$.
Kangas, Kaisa
core
, 2017 Ovaj rad se temelji na incidencijskim strukturama. Incidencijska struktura je važan pojam koji se često koristi u različitim matematičkim disciplinama.
Miliša, Ines
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A decomposition for combinatorial geometries
, 1972 A construction based on work by Tutte and Grothendieck is applied to a decomposition on combinatorial pregeometries in order to study an important class of invariants. The properties of this Tutte decomposition of a pregeometry into a subgeometry
Thomas H. Brylawski
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Supersimple omega-categorical theories and pregeometries
, 2019 We prove that if T is an omega-categorical supersimple theory with nontrivial dependence (given by forking), then there is a nontrivial regular 1-type over a finite set of reals which is realized by real elements; hence forking induces a nontrivial ...
Koponen, Vera,
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Local and global properties of the world
, 1997 The essence of the method of physics is inseparably connected with the problem of interplay between local and global properties of the universe. In the present paper we discuss this interplay as it is present in three major departments of contemporary ...
Lambert, Dominique +3 more
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Parthood and Convexity as the Basic Notions of a Theory of Space
, 2015 A deductive system of geometry is presented which is based on atomistic mereology ("mereology with points'') and the notion of convexity. The system is formulated in a liberal many-sorted logic which makes use of class-theoretic notions without however ...
Robering, Klaus
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Dimensions, matroids, and dense pairs of first-order structures
, 2011 A structure M is pregeometric if the algebraic closure is a pregeometry in all structures elementarily equivalent to M. We define a generalisation: structures with an existential matroid.
Fornasiero, Antongiulio +1 more
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Weighted join semilattices and transversal matroids
, 1974 We investigate join-semilattices in which each element is assigned a nonnegative weight in a strictly increasing way. A join-subsemilattice of a Boolean lattice is weighted by cardinality, and we give a characterization of these in terms of the notion of
Richard A. Brualdi
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