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arxiv: math/0507139 · v1 · submitted 2005-07-07 · 🧮 math.AT · math.GR

On the homotopy groups of p-completed classifying spaces

classification 🧮 math.AT math.GR
keywords spacesclassifyinggroupshomotopyp-completedcomplexconnectedconsider
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Among the generalizations of Serre's theorem on the homotopy groups of a finite complex we isolate the one proposed by Dwyer and Wilkerson. Even though the spaces they consider must be 2-connected, we show that it can be used to both recover known results and obtain new theorems about p-completed classifying spaces.

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