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Generalizations of pregeometries


Derived Synthetic Differential Geometry | The n-Category Café

Ordinary synthetic differential geometry – at least the well adapted models – is concerned with 0-truncated generalized spaces that are ...

Random ℓ‐colourable structures with a pregeometry. - PhilPapers

Separations by Random Oracles and "Almost" Classes for Generalized Reducibilities.Y. Wang & W. Merkle - 2001 - Mathematical Logic Quarterly 47 (2):249-270 ...

Geometric Stability Theory - People

Finite pregeometries are also known as matroids. Lemma 3.1. (D, aclD) is a ... generalisation of the first. Using two further results which we won't ...

ALGEBRAIC QUANTUM MECHANICS AND PREGEOMETRY

By associating the q-numbers with the elements of an algebra and regarding the primitive idempotents as "generalized points" we suggest an approach that may.

Zatrikean pregeometry - Simple cosmological scenarios - NASA ADS

... generalization) called geobits. This simple assumption introduces a transformation to classical mechanics that gives results close to the ones derived by ...

Postprint - DiVA portal

The next proposition, which is an application of Lemma 3.2, could be generalized even more to pregeometries definable using some pa- ... pregeometry isomorphic to ...

(PDF) Algebraic Quantum Mechanics and Pregeometry | Basil Hiley

... pregeometry” introduced by Wheeler. By associating the q-numbers with the elements of an algebra and regarding the primitive idempotents as “generalized ...

algebraic quantum mechanics and pregeometry

They will be considered as the generalized points of our structure. It should be noted that these primitive idempotents,. Page 10. - 10 - although being used ...

Derived Algebraic Geometry V: Structured Spaces

3.1 Pregeometries . ... of generalized ring. These considerations lead us naturally to the subject of derived algebraic geometry. Using an ...

ALGEBRAIC QUANTUM MECHANICS AND PREGEOMETRY

'generalized points', and the relationships between them. This will give rise to a generalized structure in which neither a fixed neighbourhood relation nor ...

Membrane pregeometry and the vanishing of the cosmological ...

They compute the low-energy limit of the two-loop effective action as a power expansion in the surface tension. A generalized bootstrap hypothesis is made ...

Planck scale physics, pregeometry and the notion of time

describe the pre geometry, cellular networks and overlapping fuzzy lumps. ... The category T is said to be the generalized time space or generalized time ...

uncountably-categorical theories - The University of Chicago

This notion will generalize the transcendence degree of an ... In the case of pregeometries, very similar proofs will show the analogues of ...

Combinatorial Geometries of the Hrushovski Constructions

Hrushovski,. 1995). 3. Generalization of this where F,E not assumed algebraically ... (4.2) Embedding pregeometries. For A ∈ C let PG(A) denote the pregeometry (A ...

Majors of geometric strong maps | Discrete Mathematics

Most of the constructions in the theory of combinatorial geometries take place in the category of pregeometries and strong maps.

INTRODUCTION TO GEOMETRIC STABILITY Lecture notes for the ...

in any pregeometry, generalizing linear independence in vector spaces and algebraic independence in algebraically closed fields. Definition ...

Pregeometry and euclidean quantum gravity

2, where we also show that flat space solves the classical field equations. Sect. 3 discusses the generalized Higgs mechanism. It proceeds to a ...

Algebraic Quantum Mechanics and Pregeometry

'pregeometric'. But this immediately raises the ... pregeometric algebraic structure. In ... idea of 'generalized point' there is nothing yet ...

Algebraic Quantum Mechanics and Pregeometry. - American ...

... pre-geometric algebraic structure. In particular ... of pregeometric theory3. In the ... generalized points, i.e. how do we relate i → j, etc.?

(PDF) A PHILOSOPHY FOR PREGEOMETRY -8th AsiaPacific ...

... pregeometric scheme in line with Wheeler's original conception of pregeometry Pregeometric graph (Wilson) : Spacetime is described by a generalized graph ...