# 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}