Varieties of topological geometries

Groh, Hansjoachim

doi:10.1090/S0002-9947-1993-1117218-6

Varieties of topological geometries
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Trans. Amer. Math. Soc. 337 (1993), 691-702 Request permission

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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Combinatorial geometries