Check whether a complex or co-complex is simplicial.
i1 : R=QQ[x_0..x_5] o1 = R o1 : PolynomialRing |
i2 : C=boundaryCyclicPolytope(3,R) o2 = 2: x x x x x x x x x x x x x x x x x x x x x x x x 0 1 2 0 2 3 0 3 4 0 1 5 1 2 5 2 3 5 0 4 5 3 4 5 o2 : complex of dim 2 embedded in dim 5 (printing facets) equidimensional, simplicial, F-vector {1, 6, 12, 8, 0, 0, 0}, Euler = 1 |
i3 : isSimp C o3 = true |
i4 : R=QQ[x_0..x_5] o4 = R o4 : PolynomialRing |
i5 : C1=fullCyclicPolytope(3,R) o5 = 3: x x x x x x 0 1 2 3 4 5 o5 : complex of dim 3 embedded in dim 3 (printing facets) equidimensional, non-simplicial, F-vector {1, 6, 12, 8, 1}, Euler = 0 |
i6 : isSimp C1 o6 = false |
The object isSimp is a method function.