clopen.solutions

Open problems

980 registered problems.

OP-00735 Solution claimed
Triangle inequality for the pullback distance of verbose persistence barcodes
AT · AIM Open Applied Problems · persistent homology · verbose barcodes · Vietoris–Rips complexes
OP-00832 Solution claimed
Injectivity of the Rips shadow map on fundamental groups
AT · AIM Open Applied Problems · fundamental group · Vietoris–Rips complexes
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-00839 Solution claimed
Homotopy type of torus-grid Rips complexes at half the diameter
AT · AIM Open Applied Problems · homotopy types · torus grids · Vietoris–Rips complexes
OP-00840 Solution claimed
Homology at the second transition of torus-grid Rips complexes
AT · AIM Open Applied Problems · integral homology · torus grids · Vietoris–Rips complexes
OP-00887 Open
Planar Rips complexes as wedges of spheres
AT · AIM Open Applied Problems · homotopy types · Vietoris–Rips complexes · wedges of 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