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Spectrum (topology)
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=== Ring spectrum === A '''[[ring spectrum]]''' is a spectrum ''X'' such that the diagrams that describe [[ring axioms]] in terms of smash products commute "up to homotopy" (<math>S^0 \to X</math> corresponds to the identity.) For example, the spectrum of topological ''K''-theory is a ring spectrum. A '''[[module spectrum]]''' may be defined analogously. For many more examples, see the [[list of cohomology theories]].
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