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38 Some functions for accessing basic data
 38.1  

38 Some functions for accessing basic data

38.1  

38.1-1 BoundaryMap
‣ BoundaryMap( C )( function )

Inputs a resolution, chain complex or cochain complex C and returns the function C!.boundary.

Examples: 1 , 2 

38.1-2 BoundaryMatrix
‣ BoundaryMatrix( C, n )( function )

Inputs a chain or cochain complex C and integer n>0. It returns the n-th boundary map of C as a matrix.

Examples:

38.1-3 Dimension
‣ Dimension( C )( function )
‣ Dimension( M )( function )

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.

Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 

38.1-4 EvaluateProperty
‣ EvaluateProperty( X, str )( function )

Inputs a component object X (such as a ZG-resolution or chain map) and a string str="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.

Examples:

38.1-5 GroupOfResolution
‣ GroupOfResolution( R )( function )

Inputs a ZG-resolution R and returns the group G.

Examples:

38.1-6 Length
‣ Length( R )( function )

Inputs a resolution R and returns its length (i.e. the number of terms of R that HAP has computed).

Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 

38.1-7 Map
‣ Map( f )( function )

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) .

Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 

38.1-8 Source
‣ Source( f )( function )

Inputs a chain map, or cochain map, or equivariant chain map, or FpG-module homomorphism f and returns it source.

Examples: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 

38.1-9 Target
‣ Target( f )( function )

Inputs a chain map, or cochain map, or equivariant chain map, or FpG-module homomorphism f and returns its target.

Examples: 1 , 2 , 3 , 4 , 5 , 6 

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