This calculates the Quandle, Rack and Degenerate Homology groups of Racks and Biracks (as well as Quandles and Biquandles). In addition, a test is provided to ascertain if a given set with one or two given functions is indeed a biquandle or not.

Author | Ansgar Wenzel [aut, cre] |

Date of publication | 2016-05-02 17:59:48 |

Maintainer | Ansgar Wenzel <ansgar.wenzel@gmail.com> |

License | GPL (>= 3) |

Version | 1.1.0 |

**all_combinations:** Calculating all possible permutations

**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_names_degenerate:** Calculation of degenerate boundary elements for boundary...

**check_f:** Check if the function is bijective

**check_more_push:** Helper function for Smith Normal Form calculation.

**check_permutations:** Check if Switch is bijective.

**check_YB:** Check Young Baxter Equation

**degenerate_homology:** Calculates the degenerate Homology for a rack/birack.

**down_action:** The down action for a birack or biquandle.

**find_S_result:** Calculate the Switch

**findX:** Calculate the left row action matrix to turn a matrix into...

**GaussianElimination:** Calculation of Gaussian Form of a matrix.

**homology:** Calculation of quandle and rack homology groups of a rack /...

**matrix_rank:** Calculates the rank of a matrix.

**output_results:** Function that prints the calculated homology group to the...

**push_down:** Helper Function for Smith Normal Form calculation.

**quhomology-package:** 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.

all_combinations | Man page |

boundary_matrix | Man page |

boundary_matrix_degenerate | Man page |

boundary_names | Man page |

boundary_names_degenerate | Man page |

check_f | Man page |

check_more_push | Man page |

check_permutations | Man page |

check_YB | Man page |

degenerate_homology | Man page |

down_action | Man page |

find_S_result | Man page |

findX | Man page |

GaussianElimination | Man page |

homology | Man page |

matrix_rank | Man page |

output_results | Man page |

push_down | Man page |

quhomology | Man page |

quhomology-package | Man page |

row_space | Man page |

rref | Man page |

smith | Man page |

S_test | Man page |

up_action | Man page |

quhomology

quhomology/tests

quhomology/tests/testthat.R

quhomology/NAMESPACE

quhomology/R

quhomology/R/Stest.R
quhomology/R/homology_calculation.R
quhomology/R/found_functions.R
quhomology/R/boundary_calculations.R
quhomology/README.md

quhomology/MD5

quhomology/DESCRIPTION

quhomology/man

quhomology/man/all_combinations.Rd
quhomology/man/boundary_names.Rd
quhomology/man/down_action.Rd
quhomology/man/matrix_rank.Rd
quhomology/man/output_results.Rd
quhomology/man/find_S_result.Rd
quhomology/man/quhomology-package.Rd
quhomology/man/boundary_matrix.Rd
quhomology/man/check_f.Rd
quhomology/man/degenerate_homology.Rd
quhomology/man/homology.Rd
quhomology/man/rref.Rd
quhomology/man/up_action.Rd
quhomology/man/check_more_push.Rd
quhomology/man/check_permutations.Rd
quhomology/man/S_test.Rd
quhomology/man/boundary_matrix_degenerate.Rd
quhomology/man/boundary_names_degenerate.Rd
quhomology/man/findX.Rd
quhomology/man/row_space.Rd
quhomology/man/GaussianElimination.Rd
quhomology/man/push_down.Rd
quhomology/man/check_YB.Rd
quhomology/man/smith.Rd
Questions? Problems? Suggestions? Tweet to @rdrrHQ or email at ian@mutexlabs.com.

Please suggest features or report bugs with the GitHub issue tracker.

All documentation is copyright its authors; we didn't write any of that.