Classifying space for U(n): Difference between revisions

Revision as of 13:34, 26 July 2018

Revision as of 21:16, 15 February 2019

Line 1:

{{DISPLAYTITLE:Classifying space for U(''n'')}}

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

Line 124 ⟶ 125:

==See also==

* [[Classifying space for O(n)|Classifying space for O(''n'')]]

* [[Topological K-theory]]

* [[Atiyah-JänichAtiyah–Jänich theorem]]

== Notes ==