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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 of pointed topological spaces or pointed simplicial sets together with the structure maps . The treatment here is due to Adams (1974): a spectrum (a CW-spectrum) is a sequence of the suspension as a subcomplex of . For other definitions, see symmetric spectrum and simplicial spectrum.
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