Description Usage Arguments Details Value See Also Examples

View source: R/homology_calculation.R

This functions takes the diagonal of the Smith Normal Form of the homology representation and from this prints the homology groups.

1 | ```
output_results(hom_type, Delta, degree, k)
``` |

`hom_type` |
This is the type of homology group, one of degenerate (if called from degenerate_homology), quandle (if called from homology(quandle=TRUE)) and rack (if called from homology(quandle=FALSE)). |

`Delta` |
This is the diagonal of the Smith Normal Form of the homology representation. |

`degree` |
This is the degree of the Homology group, that is, if one wants to calculate $H_3$, then degree=3. |

`k` |
This describes the order of the underlying rack or birack. |

This function prints the specified homology group of the given biquandle from the diagonal of the Smith Normal Form of the representation.

In particular, all 1 give nothing, all zeros give a Z each and every other integer n gives a Z_n.

This function does return 0. Otherwise, it is only used for printing output to the screen.

1 2 3 4 5 | ```
##---- Should be DIRECTLY executable !! ----
##-- ==> Define data, use random,
##-- or do help(data=index) for the standard data sets.
##H_2^Q(R_3):
output_results("quandle",c(1,1,1,1),2,3)
``` |

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