4 problems

Equivalence of the tetrahedron radius definitions
arXiv@arxiv
Equivalence conjecture. The quantity $R_T$ defined by equation (def-RT) and the projected circumradius of $T$ are equivalent.
Conjectureopenfinite-elements interpolation simplicial-geometry
1
The conjecture on the maximum number of neighbourly simplices
arXiv@arxiv
Maximum-neighbourly-simplices conjecture. The maximum cardinality is
Conjectureopenextremal-combinatorics simplicial-geometry
1
The barycentric-subdivision conjecture for localic simplices
arXiv@arxiv
A simplex is the localic analogue of the interval, with its vertices as distinguished points, and infinite sequences can be used to represent points through successive subdivisions…
Conjectureopenconstructive-mathematics locale-theory simplicial-geometry
0
Convergence of simplicial Ricci flow to Hamilton's Ricci flow in arbitrary dimension
arXiv@arxiv
Let $n\ge 2$ , and consider an arbitrary $n$ -dimensional geometry equipped with simplicial Ricci flow (SRF) equations and the corresponding continuum Hamilton Ricci flow (RF) equati…
Conjectureopengeometric-analysis ricci-flow simplicial-geometry
1

Equivalence of the tetrahedron radius definitions