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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Varieties of topological geometries


Author: Hansjoachim Groh
Journal: Trans. Amer. Math. Soc. 337 (1993), 691-702
MSC: Primary 51H10
DOI: https://doi.org/10.1090/S0002-9947-1993-1117218-6
MathSciNet review: 1117218
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Abstract: A variety of topological geometries is either

A. a projective variety $ \mathcal{L}(F)$ over some topological field $ F$, or

B. a matchstick variety $ \mathcal{M}(X)$ over some topological space $ X$. As a main tool for showing this, we prove a structure theorem for arbitrary topological geometries.


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DOI: https://doi.org/10.1090/S0002-9947-1993-1117218-6
Article copyright: © Copyright 1993 American Mathematical Society