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(This is a follow-up question to this one). As Matthew Ando it is nicely outlines outlined in an answer to this question, homotopy groups behave well with respect to (Serre)-fibrations and (co)homology groups behave well with respect to cofibrations. The Serre spectral sequence calculates what happens with (Serre)-fibrations and (co)homology. My question is: Is there an analogue to the Serre spectral sequence for cofibrations and homotopy groups? |
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(This is a follow-up question to this one). As Matthew Ando nicely outlines in an answer to this question, homotopy groups behave well with respect to (Serre)-fibrations and (co)homology groups behave well with respect to cofibrations. The Serre spectral sequence calculates what happens with (Serre)-fibrations and homology. (co)homology. My question is: Is there an analogue to the Serre spectral sequence for cofibrations and homotopy groups? |
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Analogue to Serre spectral sequence for cofiber sequences and homotopy(This is a follow-up question to this one). As Matthew Ando nicely outlines in an answer to this question, homotopy groups behave well with respect to (Serre)-fibrations and (co)homology groups behave well with respect to cofibrations. The Serre spectral sequence calculates what happens with (Serre)-fibrations and homology. My question is: Is there an analogue to the Serre spectral sequence for cofibrations and homotopy groups?
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