Author： Wehrung F. Semenova M. V.
Publisher： Springer Publishing Company
ISSN： 0002-5232
Source： Algebra and Logic, Vol.43, Iss.3, 2004-05, pp. : 145-161
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Abstract
Let 
be a lattice of convex subsets of a vector space 
over a totally ordered division ring 
can be embedded into , for some space over is finite lower bounded, then can be taken finite-dimensional; in this case also embeds into a finite lower bounded lattice of the form 
, for some finite subset 
of . This result yields, in particular, a new universal class of finite lower bounded lattices.
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