BoundaryMap(C)
Inputs a resolution, chain complex or cochain complex C and returns the function C!.boundary. |
BoundaryMatrix(C,n)
Inputs a chain or cochain complex C and integer n>0. It returns the n-th boundary map of C as a matrix. |
Dimension(C) Dimension(M)
Inputs a resolution, chain complex or cochain complex C and returns the function C!.dimension . Alternatively, inputs an FpG-module M and returns its dimension as a vector space over the field of p elements. |
EvaluateProperty(X,"name")
Inputs a component object X (such as a ZG-resolution or chain map) and a string "name" (such as "characteristic" or "type"). It searches X.property for the pair ["name",value] and returns value. If X.property does not exist, or if ["name",value] does not exist, it returns fail. |
GroupOfResolution(R)
Inputs a ZG-resolution R and returns the group G. |
Length(R)
Inputs a resolution R and returns its length (i.e. the number of terms of R that HAP has computed). |
Map(f)
Inputs a chain map, or cochain map or equivariant chain map f and returns the mapping function (as opposed to the target or the source of f) . |
Source(f)
Inputs a chain map, or cochain map, or equivariant chain map, or FpG-module homomorphism f and returns it source. |
Target(f)
Inputs a chain map, or cochain map, or equivariant chain map, or FpG-module homomorphism f and returns its target. |
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