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Results tagged with classifying-spaces
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user 377
The classifying space BG of a group G classifies principal G-bundles, in that homotopy classes of maps [X, BG] are naturally identified with isomorphism classes of principal G-bundles P ⭢ X.
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‘Naturally occurring’ $K(\pi, n)$ spaces, for $n \geq 2$
The following example appears in the definition of twisted $K$-theory.
Let $H$ be an infinite dimensional separable Hilbert space over $\mathbb{C}$. Since the unitary group $U(H)$ is contractible, t …
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