Abstract
Goodwillie’s proof of the Blakers-Massey Theorem for n- cubes relies on a lemma whose proof invokes transversality. The rest of his proof follows from general facts about cubes of spaces and connectivities of maps. We present a purely homotopytheoretic proof of this lemma. The methods are elementary, using a generalization and modification of an argument originally due to Puppe used to prove the Blakers-Massey Theorem for squares.
Citation
Brian A. Munson. "A purely homotopy-theoretci proof of the Blakers-Massey theorem for $n$-cubes." Homology Homotopy Appl. 16 (1) 333 - 339, 2014.
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