Complex == Complex -- Compare two complexes.

Synopsis

• Operator: ==

• Usage:

  C1==C2

• Inputs:
  • C1, an embedded complex,
  • C2, an embedded complex,
• Outputs:
  • a Boolean value,

Description

i1 : R=QQ[x_0..x_4];

i2 : C=simplex R;

i3 : bC=boundaryOfPolytope C

o3 = 3: x x x x  x x x x  x x x x  x x x x  x x x x  
         0 1 2 3  0 1 2 4  0 1 3 4  0 2 3 4  1 2 3 4

o3 : complex of dim 3 embedded in dim 4 (printing facets)
     equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 0}, Euler = -1

i4 : dbC=dualize bC

o4 = 0: v  v  v  v  v  
         0  1  2  3  4

o4 : co-complex of dim 0 embedded in dim 4 (printing facets)
     equidimensional, simplicial, F-vector {0, 5, 10, 10, 5, 1}, Euler = 1

i5 : bC==dualize dbC

o5 = true

See also

• Face == Face -- Compare two faces.
• Complex -- The class of all embedded complexes.
• dualize -- The dual of a face or complex.
• facets -- The maximal faces of a complex.