Spectrum (Homotopy Theory)

E_n

SE_n

n + 1. Morphisms in the category of spectra are defined in a non-obvious way, as a type of partial function, subject to an equivalence relation: 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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