Classifying Spaces and Spectral Sequences
نویسنده
چکیده
Remark 1.3. One can see that if BG exists, it is unique up to weak equivalence by the Yoneda lemma and the fact that every space is weakly equivalent to a CW complex. We will construct two different models of BG, the classical one from Milnor, and one from Segal. The latter will have the advantage that B(G× G′) ∼= BG× BG′ Proposition 1.4. If EG is a weakly contractible space with a free action of G such that EG → EG/G is a principal G-bundle, then BG := EG/G is a classifying space for G as above.
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