Results 31 to 40 of about 179 (91)
Membrane pregeometry and the vanishing of the cosmological constant [PDF]
We suggest a model of induced gravity in which the fundamental object is a relativistic {\it membrane} minimally coupled to a background metric and to an external three index gauge potential. We compute the low energy limit of the two-loop effective action as a power expansion in the surface tension.
A. Aurilia +2 more
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Truncations of principal geometries [PDF]
We investigate the class of principal pregeometries (free simplicial geometries with spanning simplex) which form an important subclass of the class of transversal pregeometries (free simplicial geometries). We give a coordinate-free method for imbedding
Brualdi, Richard A., Dinolt, George W.
core +1 more source
The dynamics of binary alternatives for a discrete pregeometry [PDF]
A particular case of a causal set is considered that is a directed dyadic acyclic graph. This is a model of a discrete pregeometry on a microscopic scale. The dynamics is a stochastic sequential growth of the graph.
Alexey L Krugly
core
Exponential algebraicity in exponential fields [PDF]
The exponential algebraic closure operator in an exponential field is always a pregeometry and its dimension function satisfies a weak Schanuel property.
Kirby, Jonathan, Jonathan Kirby
core +1 more source
Topological pregauge-pregeometry
Abstract The pregauge-pregeometric action, i.e. the fundamental matter action whose quantum fluctuations give rise to the Einstein-Hilbert and the Yang-Mills actions, is investigated from the point of view of the topological field theory. We show that the scalar pregauge-pregeometric action is a topological invariant for appropriate choices of the ...
Keiichi Akama, Ichiro Oda
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DEPENDENCE LOGIC IN PREGEOMETRIES ANDω-STABLE THEORIES [PDF]
AbstractWe present a framework for studying the concept of independence in a general context covering database theory, algebra and model theory as special cases. We show that well-known axioms and rules of independence for making inferences concerning basic atomic independence statements are complete with respect to a variety of semantics.
Gianluca Paolini, Jouko Väänänen
openaire +5 more sources
GENERIC EXPANSIONS OF NATP THEORIES (Model theoretic aspects of the notion of independence and dimension) [PDF]
We show that adding a generic predicate P to an NATP theory preserves NATP, with the assumption of modular pregeometry and elimination of quantifiers and ∃
LEE, HYOYOON
core
The finite submodel property and ω-categorical expansions of pregeometries [PDF]
We prove, by a probabilistic argument, that a class of ω-categorical structures, on which algebraic closure defines a pregeometry, has the finite submodel property. This class includes any expansion of a pure set or of a vector space, projective space or
Djordjevic, Marko,, Djordjević, Marko
core +1 more source
Heritability of types of a pregeometry relative to a family of relational structures
A series of geometrical and topological properties induced by structures, including degeneration, modularity, local modularity, projectivity, local finiteness, etc., play an important role in clarifying structural relationships and in classifying basic ...
S.B. Malyshev, S.V. Sudoplatov
doaj +1 more source
Ranks and pregeometries in finite diagrams
Abstract: "The study of classes of models of a finite diagram was initiated by S. Shelah in 1969. A diagram D is a set of types over the empty set, and the class of models of the diagram D consists of the models of T which omit all the types not in D.
openaire +3 more sources

