“Infinite loop space machine”的意思、由来-开放百科全书

词条

Infinite loop space machine

释义

References

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, . Then the machine produces the group completion . The space may be described by the K-theory spectrum of S.

References

May, The uniqueness of infinite loop space machine

3 : Homotopy theory|Topological spaces|Topology

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