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infinite loop space machine : ウィキペディア英語版
infinite loop space machine

In topology, a branch of mathematics, given a topological monoid ''X'' up to homotopy (in a nice way), an infinite loop space machine produces a group completion of ''X'' together with infinite loop space structure. For example, one can take ''X'' to be the classifying space of a symmetric monoidal category ''S''; that is, X = BS. Then the machine produces the group completion BS \to K(S). The space K(S) may be described by the K-theory spectrum of ''S''.
== References ==

*May, (The uniqueness of infinite loop space machine )


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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