Abstract
In recent work of the first and third authors, functorial coalgebra decompositions of tensor algebras were geometrically realized to give functorial homotopy decompositions of loop suspensions. Later work by all three authors generalized this to functorial decompositions of looped coassociative co-H spaces. In this paper we use different methods which allow for the coassociative hypothesis to be removed.
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This research was supported in part by the Academic Research Fund of the National University of Singapore. J. Wu would like to thank the hospitality of Nankai University. Part of this project has been carried out during his visit to the Chern Institute of Mathematics of Nankai University.
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Selick, P., Theriault, S. & Wu, J. Functorial homotopy decompositions of looped co-H spaces. Math. Z. 267, 139–153 (2011). https://doi.org/10.1007/s00209-009-0613-9
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DOI: https://doi.org/10.1007/s00209-009-0613-9