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Spectrum (topology) : ウィキペディア英語版
Spectrum (topology)
In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory. There are several different constructions of categories of spectra, any of which gives a context for the same stable homotopy theory.
==The definition of a spectrum==

There are many variations of the definition: in general, a "spectrum" is any sequence X_n of pointed topological spaces or pointed simplicial sets together with the structure maps S^1 \wedge X_n \to X_.
The treatment here is due to Adams (1974): a spectrum (a CW-spectrum) is a sequence E:= \_ of the suspension \Sigma E_n as a subcomplex of E_ .
For other definitions, see symmetric spectrum and simplicial spectrum.

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