nLab filtration by support

Idea

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

Examples

• 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

Related concepts

tower diagram/filtering	spectral sequence of a filtered stable homotopy type
filtered chain complex	spectral sequence of a filtered complex
Postnikov tower	Atiyah-Hirzebruch spectral sequence
chromatic tower	chromatic spectral sequence
skeleta of simplicial object	spectral sequence of a simplicial stable homotopy type
skeleta of Sweedler coring of E-∞ algebra	Adams spectral sequence
filtration by support	…
slice filtration	slice spectral sequence

References

Section 2.1.3 of

• Dylan WilsonSpectral Sequences from Sequences of Spectra: Towards the

  Spectrum of the Category of Spectra_ lecture at 2013 Pre-Talbot Seminar (pdf)