Functional principal component analysis

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Template:Orphan 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 BSK(S). The space K(S) may be described by the K-theory spectrum of S.

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