Calculation of Homology of Quandles, Racks, Biquandles and Biracks


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Documentation for package ‘quhomology’ version 1.1.1

Help Pages

quhomology-package Calculation of Homology groups of a rack/birack
boundary_matrix This function calculates a boundary matrix.
boundary_matrix_degenerate Calculation of boundary matrix for degenerate Homology.
boundary_names Calculation of boundary elements for quandle and rack boundary matrix
boundary_names_degenerate Calculation of degenerate boundary elements for boundary matrix
degenerate_homology Calculates the degenerate Homology for a rack/birack.
down_action The down action for a birack or biquandle.
GaussianElimination Calculation of Gaussian Form of a matrix.
homology Calculation of quandle and rack homology groups of a rack / birack.
matrix_rank Calculates the rank of a matrix.
output_results Function that prints the calculated homology group to the screen
quhomology Calculation of Homology groups of a rack/birack
row_space Row Space of a Matrix.
rref Reduced Row Echelon Form of a matrix
smith Smith Normal Form of a matrix.
S_test Testing of possible quandle/biquandle actions
up_action The up action for a birack or biquandle.