What are invariants of minimal pairs
of compact convex sets?


[Equivalent minimal pairs]

We already know

Let (A,B), (A',B') be a two equivalent minimal pairs in X. Then two affine subspaces spanned by A [union]B and A' [union] B' have equal dimensions.
Do you have a question?
Write to rich@amu.edu.pl ,
lh09@rz.uni-karlsruhe.de




We still do not know

Is there any invariant of equivalent minimal pairs other than dim Sp(A[union]B) ?
Do you have an answer?
Write to rich@amu.edu.pl,
lh09@rz.uni-karlsruhe.de


* Do minimal pairs of convex sets exist? * Are minimal pairs of compact sets unique? *
* What about convex polytops? * What are invariants of minimal pairs of convex sets? *
* How do minimal pairs of convex sets relate to fractions? *
* History of minimal pairs of convex sets *
* How did we get interested in pairs of convex sets? *
* References * Definitions *
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