On the homotopy groups of p-completed classifying spaces

Mathematics – Algebraic Topology

Scientific paper

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12 pages

Scientific paper

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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