Betti3(Triplet) -- Betti numbers of the three pure complexes

Synopsis

• Function: Betti3

• Usage:

  Betti3 T

• Inputs:
  • T, an instance of the type Triplet, a degree triplet
• Outputs:
  • a list, The three sequences of Betti numbers of 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 : Betti3(T)
{1, 2, 3}   ===>   {3, 6, 2}
{0, 2}   ===>   {1, 3}
{0, 2, 3}   ===>   {2, 3, 1}

See also

• Betti1 -- Betti numbers of first pure complex
• BettiDiagram3 -- Betti diagrams of the three pure complexes