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. |