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Higher homotopy commutativity of H-spaces and homotopy localizations

Higher homotopy commutativity of H-spaces and homotopy localizations

In this paper, we prove that the homotopy localization of an AC n -space is an AC n -space so that the universal map is an AC n -map.This result is used to study the higher homotopy commutativity of H-spaces with finitely generated cohomology over the Steenrod algebra Ꮽ * …