multidim.Simplex

class multidim.Simplex(cellcomplex, dim, index)

This class is a convenient container to access the data in the pd DataFrame stratum[dim] of a SimplicialComplex. It is always faster to access stratum[dim].loc[index] directly.

Parameters:

cellcomplex : SimplicialComplex

The SimplicialComplex to which this Simplex belongs.

dim : int

The dimension in which this Simplex lives.

index : int

The abstract index of this Simplex.

See also

SimplicialComplex

A class for abstract simpicial cell complexes.

Notes

A finite (abstract) simplicial complex is a finite set \(A\) together with collection \(\Delta\) of subsets of \(A\) such that if \(X \in \Delta\) and \(Y \subset X\) then \(Y \in \Delta\). [1]

References

[1]	(1, 2) D. Feichtner-Kozlov, Combinatorial algebraic topology. Berlin: Springer, 2008.

Attributes:

cellcomplex : SimplicialComplex

The SimplicialComplex to which this Simplex belongs.

dim : int

The dimension in which this Simplex lives.

index : int

The abstract index of this Simplex.

shadow_complex : SimplicialComplex

children : pandas.Series

Simplex.boundary	return:
Simplex.height	return:height (that is, filtered value) of this cell (np.float64)
Simplex.mass	return:mass of this cell (np.float64 or None)
Simplex.positive	return:
Simplex.representative	return: