nLab spectrum - disambiguation

There are several different (sometimes related) mathematical notions of ‘’spectrum’‘ or whose name has ‘’spectral’‘ as prefix:

• spectra of spaces in stable homotopy theory

  and more generally

  • spectra of $\infty$-categories in higher category theory

• spectra of rings in geometry

  • including: Cole's theory of spectrum,

    spectral theory such spectrum of an operator, spectra of families, of a Banach algebra, Gelfand spectrum, spectrum of a commutative ring, prime spectrum of a ring (not necessarily commutative), analytic spectrum, Cole's theory of spectrum, spectrum of an abelian category, Orlov spectrum, spectrum of a triangulated category, prime spectrum of a symmetric monoidal stable (∞,1)-category, etc.

There is also a notion of:

• spectral sequence

which has no particular relation to other notions of spectrum (except that filtered spectra give rise to spectral sequences of filtered spectra).

In physics:

• atomic spectrum

category: dosambiguation