About: Five-term exact sequence

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In mathematics, five-term exact sequence or exact sequence of low-degree terms is a sequence of terms related to the first step of a spectral sequence. More precisely, let be a first quadrant spectral sequence, meaning that vanishes except when p and q are both non-negative. Then there is an exact sequence 0 → E21,0 → H 1(A) → E20,1 → E22,0 → H 2(A). Here, the map is the differential of the -term of the spectral sequence.

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  • In mathematics, five-term exact sequence or exact sequence of low-degree terms is a sequence of terms related to the first step of a spectral sequence. More precisely, let be a first quadrant spectral sequence, meaning that vanishes except when p and q are both non-negative. Then there is an exact sequence 0 → E21,0 → H 1(A) → E20,1 → E22,0 → H 2(A). Here, the map is the differential of the -term of the spectral sequence. (en)
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  • In mathematics, five-term exact sequence or exact sequence of low-degree terms is a sequence of terms related to the first step of a spectral sequence. More precisely, let be a first quadrant spectral sequence, meaning that vanishes except when p and q are both non-negative. Then there is an exact sequence 0 → E21,0 → H 1(A) → E20,1 → E22,0 → H 2(A). Here, the map is the differential of the -term of the spectral sequence. (en)
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  • Five-term exact sequence (en)
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