quhomology: Calculation of Homology of Quandles, Racks, Biquandles and Biracks
Version 1.1.0

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.

AuthorAnsgar Wenzel [aut, cre]
Date of publication2016-05-02 17:59:48
MaintainerAnsgar Wenzel <ansgar.wenzel@gmail.com>
LicenseGPL (>= 3)
Version1.1.0
Package repositoryView on CRAN
InstallationInstall the latest version of this package by entering the following in R:
install.packages("quhomology")

Getting started

Package overview
README.md

Popular man pages

check_f: Check if the function is bijective
check_permutations: Check if Switch is bijective.
check_YB: Check Young Baxter Equation
homology: Calculation of quandle and rack homology groups of a rack /...
matrix_rank: Calculates the rank of a matrix.
rref: Reduced Row Echelon Form of a matrix
smith: Smith Normal Form of a matrix.
See all...

All man pages Function index File listing

Man pages

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.

Functions

Files

tests
tests/testthat.R
NAMESPACE
R
R/Stest.R
R/homology_calculation.R
R/found_functions.R
R/boundary_calculations.R
README.md
MD5
DESCRIPTION
man
man/all_combinations.Rd
man/boundary_names.Rd
man/down_action.Rd
man/matrix_rank.Rd
man/output_results.Rd
man/find_S_result.Rd
man/quhomology-package.Rd
man/boundary_matrix.Rd
man/check_f.Rd
man/degenerate_homology.Rd
man/homology.Rd
man/rref.Rd
man/up_action.Rd
man/check_more_push.Rd
man/check_permutations.Rd
man/S_test.Rd
man/boundary_matrix_degenerate.Rd
man/boundary_names_degenerate.Rd
man/findX.Rd
man/row_space.Rd
man/GaussianElimination.Rd
man/push_down.Rd
man/check_YB.Rd
man/smith.Rd
quhomology documentation built on May 20, 2017, 4:35 a.m.

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