quhomology (version 1.1.1)

boundary_names_degenerate: Calculation of degenerate boundary elements for boundary matrix

Description

This functions calculates the row and column names for the degenerate boundary matrix.

Usage

boundary_names_degenerate(degree, k)

Arguments

degree

Length of elements to be calculated. A positive integer

k

Order of underlying rack/birack. This will be passed on to up/down action, if necessary. A positive integer.

Value

A matrix, where the rows represent the elements.

Details

This calculates all possible permutations of elements in $Z_k$ of length $degree$. If degenerate is true, it loops through all of them, removing the non-degenerate ones (that is, those where $x_i =/= x_i+1$ for all $i=0,...,degree-1$, for an element $x=(x_i)_0^degree)$).

See Also

boundary_matrix_degenerate, boundary_names

Examples

# NOT RUN {
boundary_names_degenerate(3,3)
# }