MSC2020 · 52A20

Convex sets in $n$ dimensions (including convex hypersurfaces)

Convex sets in $n$ dimensions (including convex hypersurfaces) [See also 53A07, 53C45]

Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.

Mapped problems

Hadwiger covering / illumination number in mathbb R ^3 : determine C 39 or improve its bounds; the repository records 8 (lower) and 14 (upper).

Smallest dimension in which Borsuk’s conjecture fails: determine C 28 or improve its bounds; the repository records 4 (lower) and 63 (upper).

These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.

Springer Nature

Discrete geometry and geometric computation