PersistentBettiNumbers(K,n):: FilteredSimplicialComplex, Int --> List
PersistentBettiNumbers(K,n):: FilteredPureCubicalComplex, Int --> List
PersistentBettiNumbers(K,n):: FilteredRegCWComplex, Int --> List
PersistentBettiNumbers(K,n):: FilteredChainComplex, Int --> List
PersistentBettiNumbers(K,n):: FilteredSparseChainComplex, Int --> List
PersistentBettiNumbers(K,n,p):: FilteredSimplicialComplex, Int, Int --> List
PersistentBettiNumbers(K,n,p):: FilteredPureCubicalComplex, Int, Int --> List
PersistentBettiNumbers(K,n,p):: FilteredRegCWComplex, Int, Int --> List
PersistentBettiNumbers(K,n,p):: FilteredChainComplex, Int, Int --> List
PersistentBettiNumbers(K,n,p):: FilteredSparseChainComplex, Int, Int --> List

Inputs a filtered simplicial, filtered pure cubical, filtered regular CW, filtered chain or filtered sparse chain complex K together with an integer n \ge 0 and returns the nth PersistentBetti numbers of K as a list of lists of integers.

Inputs a filtered simplicial, filtered pure cubical, filtered regular CW, filtered chain or filtered sparse chain complex K together with an integer n \ge 0 and a prime p \ge 0 or p=0. In this case the nth PersistentBetti numbers of K over a field of characteristic p are returned.