clopen.solutions

Open problems

980 registered problems.

OP-00580 Open
Finitely many radius sets for compact sphere packings
MG · AIM Open Applied Problems · compact packings · sphere packings
OP-00718 Solution claimed
Sharp Fourier extension from the sphere in three dimensions
CA · AIM Open Applied Problems · extension operator · Fourier restriction · sphere
OP-00834 Solution claimed
Spanning triangulated spheres with holes in surface triangulations
CO · AIM Open Applied Problems · spanning subgraphs · surface triangulations · triangulated spheres with holes
OP-00835 Solution claimed
The first Rips homotopy transition for higher-dimensional spheres
AT · AIM Open Applied Problems · homotopy types · spheres · Vietoris–Rips complexes
OP-00843 Open
Six-point persistence on the Euclidean two-sphere
MG · AIM Open Applied Problems · persistence sets · two-sphere · Vietoris–Rips persistence
OP-00872 Open
Reconstructing simplicial spheres from facet adjacency
CO · AIM Open Applied Problems · facet-ridge graphs · polytope reconstruction · simplicial spheres
OP-00885 Open
Wedge-of-spheres structure of path-product matching complexes
CO · AIM Open Applied Problems · categorical products of graphs · matching complexes · wedges of spheres
OP-00887 Open
Planar Rips complexes as wedges of spheres
AT · AIM Open Applied Problems · homotopy types · Vietoris–Rips complexes · wedges of spheres
OP-00900 Open
Monotonicity of connectivity in spherical Čech filtrations
AT · AIM Open Applied Problems · Čech complexes · homotopy connectivity · spheres
OP-00901 Open
Finite homotopy models for spherical Čech complexes
AT · AIM Open Applied Problems · Čech complexes · homotopy types · spheres
OP-00902 Open
Monotonicity of connectivity in spherical Rips filtrations
AT · AIM Open Applied Problems · homotopy connectivity · spheres · Vietoris–Rips complexes
OP-00903 Open
Finite homotopy models for spherical Rips complexes
AT · AIM Open Applied Problems · homotopy types · spheres · Vietoris–Rips complexes