BettiDiagram3(Triplet) -- Betti diagrams of the three pure complexes

Synopsis

• Function: BettiDiagram3

• Usage:

  BettiDiagram3 T

• Inputs:
  • T, an instance of the type Triplet, a degree triplet
• Outputs:
  • a Betti tally, The Betti diagrams of the three complexes in the triplet of pure complexes with the three given degree sequences.

Description

i1 : T = triplet({1,2,3}, {0,2}, {0,2,3})

o1 = {{1, 2, 3}, {0, 2}, {0, 2, 3}}

o1 : Triplet

i2 : BettiDiagram3(T)
       0 1 2            0 1            0 1 2
total: 3 6 2     total: 1 3     total: 2 3 1
    1: 3 6 2         0: 1 .         0: 2 . .
                     1: . 3         1: . 3 1

See also

• Betti3 -- Betti numbers of the three pure complexes
• BettiDiagram1 -- Betti diagram of first pure complex