Mahler's Conjecture and Wavelets.
Many Endpoints and Few Interior Points of Geodesics.
Mathematical programming problems involving continuum of inequality constraints
Maximum convex hulls of connected systems of segments and of polyominoes.
Mazur's Intersection Property for Finite Dimensional Sets.
Measure and Helly's Intersection Theorem for Convex Sets
Let be a uniformly bounded collection of compact convex sets in ℝ ⁿ. Katchalski extended Helly’s theorem by proving for finite ℱ that dim (⋂ ℱ) ≥ d, 0 ≤ d ≤ n, if and only if the intersection of any f(n,d) elements has dimension at least d where f(n,0) = n+1 = f(n,n) and f(n,d) = maxn+1,2n-2d+2 for 1 ≤ d ≤ n-1. An equivalent statement of Katchalski’s result for finite ℱ is that there exists δ > 0 such that the intersection of any f(n,d) elements of ℱ contains a d-dimensional ball of measure...
Minimal fixing systems for convex bodies.
Minimal sets of vectors which generate with excess
Minkowski valuations intertwining the special linear group
All continuous Minkowski valuations which are compatible with the special linear group are completely classified. One consequence of these classifications is a new characterization of the projection body operator.
Multiapplications boréliennes à valeurs convexes de