Classifying space for U(n): Difference between revisions

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In [[mathematics]], the '''[[classifying space]] for the [[unitary group]]''' ''U(n)'' is a space '''B'''(''U(n)'') together with a universal bundle '''E'''(''U(n)'') such that any [[hermitian bundle]] on a [[paracompact space]] ''X'' is the pull-back of '''E''' by a map ''X → B'' unique up to homotopy.

This space with its universal fibration may be constructed as either