Reference for the construction of the Leray spectral sequence from filtration
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So far I have found only two possible constructions of the Leray spectral sequence for a continuous map $f : X to Y$ between topological spaces with CW-complex structures: one through Cech complexes, and the other one more categorical through Grothendieck spectral sequences.
I would like to construct this spectral sequence directly by hand from the filtration induced by the CW-structure of $Y$, but haven't found any reference about it.
May I emphasise that I'm looking for a construction of the Leray spectral sequence (for continuous maps which are not necessarily filtrations, and not of the Leray-Serre spectral sequence (where direct constructions can be found in many places).
Does someone have an idea ? Thanks !
reference-request spectral-sequences
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up vote
1
down vote
favorite
So far I have found only two possible constructions of the Leray spectral sequence for a continuous map $f : X to Y$ between topological spaces with CW-complex structures: one through Cech complexes, and the other one more categorical through Grothendieck spectral sequences.
I would like to construct this spectral sequence directly by hand from the filtration induced by the CW-structure of $Y$, but haven't found any reference about it.
May I emphasise that I'm looking for a construction of the Leray spectral sequence (for continuous maps which are not necessarily filtrations, and not of the Leray-Serre spectral sequence (where direct constructions can be found in many places).
Does someone have an idea ? Thanks !
reference-request spectral-sequences
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
So far I have found only two possible constructions of the Leray spectral sequence for a continuous map $f : X to Y$ between topological spaces with CW-complex structures: one through Cech complexes, and the other one more categorical through Grothendieck spectral sequences.
I would like to construct this spectral sequence directly by hand from the filtration induced by the CW-structure of $Y$, but haven't found any reference about it.
May I emphasise that I'm looking for a construction of the Leray spectral sequence (for continuous maps which are not necessarily filtrations, and not of the Leray-Serre spectral sequence (where direct constructions can be found in many places).
Does someone have an idea ? Thanks !
reference-request spectral-sequences
So far I have found only two possible constructions of the Leray spectral sequence for a continuous map $f : X to Y$ between topological spaces with CW-complex structures: one through Cech complexes, and the other one more categorical through Grothendieck spectral sequences.
I would like to construct this spectral sequence directly by hand from the filtration induced by the CW-structure of $Y$, but haven't found any reference about it.
May I emphasise that I'm looking for a construction of the Leray spectral sequence (for continuous maps which are not necessarily filtrations, and not of the Leray-Serre spectral sequence (where direct constructions can be found in many places).
Does someone have an idea ? Thanks !
reference-request spectral-sequences
asked Aug 25 at 10:54
BrianT
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