Commuting elements, simplicial spaces and filtrations of classifying spaces
نویسندگان
چکیده
منابع مشابه
Commuting Elements, Simplicial Spaces and Filtrations of Classifying Spaces
Let Γ denote the q-th stage of the descending central series of the free group on n generators Fn. For each q ≥ 2 and every topological group G, a simplicial space B∗(q, G) is constructed where Bn(q, G) = Hom(Fn/Γ , G) and the realizations B(q, G) = |B∗(q, G)| filter the classifying space BG. In particular for q = 2 this yields a single space B(2, G) assembled from all the n–tuples of commuting...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 2011
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004111000570