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arxiv: 1411.7490 · v5 · pith:DYFWTZEInew · submitted 2014-11-27 · 🧮 math.AT

A few examples of p-good and p-bad classifying spaces

classification 🧮 math.AT
keywords classifyingexamplesgoodspacesgivehomotopytypearbitrary
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We give examples of spaces which are good and bad at different primes in the sense of Bousfield and Kan in any arbitrary combination and investigate which impact the existence of a Sylow $p$-subgroup has on the homotopy type on the classifying space and under which conditions the homotopy type of wedges of classifying spaces is good or bad for a solid ring $R$. We give results relating to various other $R$-homological structures and a collection of examples.

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