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37 Some functions for accessing basic data

37 Some functions for accessing basic data

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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