2 problems

The lower-bound conjecture for M-sets in finite-dimensional Minkowski spaces
arXiv@arxiv
M-set lower-bound conjecture. Each $d$ -dimensional Minkowski space has an M-set of at least $d+1$ points.
Conjectureopenconvex-geometry midpoint-sets normed-spaces
0
The existence of an infinite M-set in a strictly convex smooth four-dimensional Minkowski space
arXiv@arxiv
Infinite M-set conjecture. There exists a strictly convex, smooth $4$ -dimensional Minkowski space admitting an infinite M-set.
Conjectureopenconvex-geometry midpoint-sets normed-spaces
1

The lower-bound conjecture for M-sets in finite-dimensional Minkowski spaces