The embedding dimension of a complex or co-complex.
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 : dim C
o3 = 2
i4 : edim C
o4 = 5
See also
dim(Complex) -- Compute the dimension of a complex or co-complex.