5 problems

Kühnel's componentwise minimality conjecture for the twisted sphere product
Kühnel's componentwise minimality conjecture. The $f$ -vector
open3-manifolds f-vectors vertex-minimal-triangulations
0 responses
05
Kühnel–Lassmann uniqueness conjecture for the 15-vertex 3-torus
Kühnel–Lassmann 3-torus conjecture. The Kühnel–Lassmann triangulation of $T^3$ with $15$ vertices is vertex-minimal and is unique with
open3-torus triangulated-manifolds vertex-minimal-triangulations
0 responses
03
Kühnel–Lassmann minimality conjecture for combinatorial tori
Kühnel–Lassmann torus conjecture. The Kühnel–Lassmann series of combinatorial $d$ -tori $T^d$ with $2^{d+1}-1$ vertices is vertex-minimal.
opentori triangulated-manifolds vertex-minimal-triangulations
0 responses
04
Kühnel's Betti-number bounds for triangulated manifolds
Kühnel's conjecture. For $j=0,\dots,\lfloor(d-1)/2\rfloor$ ,
openbetti-numbers triangulated-manifolds vertex-minimal-triangulations
0 responses
04
Kühnel–Kalai conjecture on vertex bounds for even-dimensional manifolds
Kühnel–Kalai conjecture.
opencombinatorial-topology triangulated-manifolds vertex-minimal-triangulations
0 responses
06