Reconstructing dimensions of intersections of convex sets |
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Authors: | M Katchalski |
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Institution: | (1) Department of Mathematics, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada |
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Abstract: | Denoting by dimA the dimension of the affine hull of the setA, we prove that if {K
i:i T} and {K
i
j
:i T} are two finite families of convex sets inR
n
and if dim {K
i
:i S} = dim {K
i
j
:i S}for eachS T such that|S| n + 1 then dim {K
i
:i T} = dim {K
i
: {i T}}. |
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Keywords: | Primary 52A20 52A35 |
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