cartanEilenbergResolution(...,LengthLimit=>...) -- How many steps to compute

Synopsis

• Usage:

  m = cartanEilenbergResolution(C,LengthLimit => n)

• Inputs:
  • C, a chain complex,
  • n, an integer, non-negative integer or infinity
• Outputs:
  • m, a chain complex map,

Description

Further information

• Default value: infinity
• Function: cartanEilenbergResolution -- Computes free resolution of a ChainComplex
• Option key: LengthLimit -- stop when the resolution reaches this length

Functions with optional argument named LengthLimit :

• cartanEilenbergResolution(...,LengthLimit=>...) -- How many steps to compute
• isExact(...,LengthLimit=>...) -- Option to check exactness only up to a particular homological degree
• isQuasiIsomorphism(...,LengthLimit=>...) -- Option to check quasi-isomorphism only up to a certain point
• koszulComplex(...,LengthLimit=>...) -- How many steps to compute
• minimalBetti(...,LengthLimit=>...) -- see minimalBetti -- minimal betti numbers of (the minimal free resolution of) a homogeneous ideal or module
• resolution(...,LengthLimit=>...) -- stop when the resolution reaches this length
• resolutionOfChainComplex(...,LengthLimit=>...) -- How many steps to compute
• taylorResolution(...,LengthLimit=>...) -- How many steps to compute