homology(r,C)
This computes the reduced homology in degree r of the cellular complex arising from the cell complex C. For more details on the labels, see HH CellComplex. As an example, we can compute the 0-th and 1st homology of a wedge of two circles.
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We can make this example slightly more interesting by changing the label ring and adding a non-unit label. Note in particular that this has a non-zero 0-th homology.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/CellularResolutions/doc.m2:716:0.