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Varieties of Topological Geometries

Name: Varieties of Topological Geometries
Creator: Hansjoachim Groh
Keywords: projective variety, matchstick variety, topological space, topological field, 4. Education, Topological linear incidence structures, variety of topological geometries, 0102 computer and information sciences, 0101 mathematics, Combinatorial aspects of matroids and geometric lattices

Varieties of topological geometries

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 337, page 691 (issn: 0002-9947,

Authors: Hansjoachim Groh;

doi: 10.2307/2154238 , 10.1090/s0002-9947-1993-1117218-6

Varieties of Topological Geometries

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Abstract

A variety of topological geometries is either A. a projective variety L ( F ) \mathcal {L}(F) over some topological field F F , or B. a matchstick variety M ( X ) \mathcal {M}(X) over some topological space X X . As a main tool for showing this, we prove a structure theorem for arbitrary topological geometries.

Keywords

projective variety, matchstick variety, topological space, topological field, Topological linear incidence structures, variety of topological geometries, Combinatorial aspects of matroids and geometric lattices

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