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Macaulay2 web site
SpectralSequences
::
filteredComplex
filteredComplex -- make a filtered complex
Synopsis
Usage:
K = filteredComplex L
Inputs:
L
,
a
list
, or
L
,
a
chain complex
, or
L
,
a
spectral sequence
Optional inputs
:
ReducedHomology =>
a
Boolean value
Shift =>
an
integer
Outputs:
K
,
a
filtered chain complex
Description
This is the primitive filtered complex constructor.
See also
FilteredComplex
-- the type of all filtered complexes
How to make filtered complexes from chain complex maps
Filtrations and tensor product complexes
Filtrations and homomorphism complexes
Filtered complexes and simplicial complexes
Ways to use
filteredComplex
:
filteredComplex(ChainComplex)
-- obtain a filtered complex from a chain complex
filteredComplex(Ideal,ChainComplex,ZZ)
-- I-adic filtrations of chain complexes
filteredComplex(List)
-- obtain a filtered complex from a list of chain complex maps or a nested list of simplicial complexes
filteredComplex(SpectralSequence)
-- obtain the filtered complex associated to the spectral sequence