Generalizations of pregeometries
Generalizations of pregeometries - Mathematics Stack Exchange
Note that even when acl does give a pregeometry, it doesn't necessarily tell you anything useful. For example, in the random graph, or more ...
Pregeometry (model theory) - Wikipedia
In the branch of mathematical logic called model theory, infinite finitary matroids, there called "pregeometries" (and "geometries" if they are simple matroids) ...
Pregeometries are also called matroids (or sometimes, finitary matroids), in other ... yields a pregeometry. Generalizing the strongly minimal case, if p ...
Pregeometries and minimal types - UB
This section can be easily generalized to partial types π(x) where x is an n-tuple of variables instead of being a single variable. The closure operator has ...
Pregeometry (physics) - Wikipedia
Spacetime is described by a generalized graph consisting of a very large or infinite set of vertices paired with a very large or infinite set of edges. From ...
Supersimple ω-categorical theories and pregeometries
Later such results where generalized to the context of simple theories. If T is a simple theory and p is a regular type, then dividing (or equivalently forking) ...
[math/9704206] Ranks and pregeometries in finite diagrams - arXiv
We can also obtain pregeometries with respect to this dependence relation. The dependence relation is the natural one induced by the rank, and ...
geometry (for structured (infinity,1)-toposes) in nLab
1. Idea · The big (∞,1)-topos Sh ( G ) Sh(\mathcal{G}) of (∞,1)-sheaves on G \mathcal{G} . Its objects are generalized spaces given by rules. X : ...
dependence relation in pregeometries - Mathematical Sciences
subsets of the models and pregeometries exist often. This is used to give a proof of categoricity generalizing the Baldwin-Lachlan Theorem. In a work in ...
Pregeometry (Model Theory) | PDF | Mathematical Concepts - Scribd
It provides a framework to generalize concepts from linear algebra like closure, independence, basis, and dimension to non-linear settings. In model theory, ...
This is trivially true for a top polar, since it is a single vertex. However, we generalize the notion of leveling in a way which untrivializes ...
Combinatorial geometries in model theory - DiVA portal
Pregeometries obtained from minimal sets were first studied by M.Marh [7], and were later generalized by Baldwin and Lachlan [1]. The pregeometies on minimal ...
A new generalisation of dimension? part 2 - MathOverflow
So usually people strengthen this definition by adding extra axioms: it's common to look at finitary matroids (also called a pregeometries, ...
(PDF) Dependence relation in pregeometries - ResearchGate
Scott sentences. ... categoricity generalizing the Baldwin-Lachlan Theorem. In a work in preparation,. [GrLe2], we prove the main gap for totally transcendental ...
Pregeometry, Formal Language and Constructivist Foundations of ...
• (iii) Those involving new physical structures, generalizing existing physical notions of space, time or matter in the search for new physics; and. • (iv) ...
Ranks and pregeometries in finite diagrams - ScienceDirect.com
He introduced a generalization of strongly minimal formulas by replacing “non-algebraic” by “there exists uncountably many” and obtained results about countable ...
Pregeometry and spontaneous time-space asymmetry
In pregeometry a metric arises as a composite object at large distances ... Cartan, Sur une generalisation de la notion de courbure de Riemann ...
Kinds of Pregeometries of Acyclic Theories - Math-Net.Ru
definitions of a pregeometry will be called an a-pregeometries. Definition 7 ... of D , some generalized analogue of the modularity formula in pregeometry.
Modular_lattice - James E. Hanson
are closed sets (of finite rank). Modular pregeometries are essentially equivalent to projective planes and higher-dimensional generalizations (projective ...
An Attempt at Pregeometry: — Gravity with Composite Metric
... pregeometry”, from which geometrodynamics, or Einstein's gravity, is derived. ... 1477–1493: Spontaneous Dimensional Reduction in Generalized Kaluza's High- ...