Results 51 to 60 of about 179 (91)

Geometries on partially ordered sets [PDF]

open access: yes, 1980
Geometries on finite partially ordered sets extend the concept of matroids on finite sets to partially ordered sets. Geometries are defined in terms of closure operators on partially ordered sets.
Faigle, Ulrich
core   +1 more source

Groups with locally modular homogeneous pregeometries are commutative [PDF]

open access: yesProceedings of the American Mathematical Society, 2017
It is well known that strongly minimal groups are commutative. Whether this is true for various generalisations of strong minimality has been asked in several different settings. In this note we show that the answer is positive for groups with locally modular homogeneous pregeometries.
openaire   +3 more sources

Finding groups in Zariski-like structures [PDF]

open access: yes, 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  

Quantum gravity and number-theoretical pregeometry [PDF]

open access: yes, 1998
unknown accessibilityei tietoa ...
Saatsi, Juha
core  

Bounded pregeometries and pairs of fields

open access: yes, 2017
15 pages,
Angel, Leonardo, Dries, Lou van den
openaire   +2 more sources

Steps toward an axiomatic pregeometry of spacetime [PDF]

open access: yes, 1998
We present a deductive theory of space-time which is realistic, objective, and relational. It is realistic because it assumes the existence of physical things endowed with concrete properties.
Romero, Gustavo E.   +2 more
core   +2 more sources

Parthood and Convexity as the Basic Notions of a Theory of Space [PDF]

open access: yes, 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
core   +2 more sources

Local and global properties of the world [PDF]

open access: yes, 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
core  

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