For $X$ a filtered space entities like quasicoherent sheaves over $X$ get induced a filtering by their support on the strata of $X$.

- The height filtration on the moduli stack of formal groups induces a filtration by support. The corresponding spectral sequence of a filtered stable homotopy type appears

Section 2.1.3 of

- Dylan Wilson
*Spectral Sequences from Sequences of Spectra: Towards the*Spectrum of the Category of Spectra_ lecture at 2013 Pre-Talbot Seminar (pdf)

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