Web Definition: Spectrum
In mathematics, a spectrum in homotopy theory is an object in a category constructed for the purposes of stable homotopy theory, starting with the category of CW complexes & aiming to make the suspension functor S invertible. This construction is originally due to J M Boardman. The objects of the category of spectra are sequences of CW complexes as pointed spaces, such that is homeomorphic to a subcomplex of E n + 1. essentially from the minimum mapping information that is possible, allowing S to be applied to bring any given cell into the domain. The construction is related, on a conceptual level at least, to that of the derived category, but using spaces rather than algebra.
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