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The functor A min for (p − 1)-cell complexes and EHP sequences

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Abstract

Let X be a co-H-space of (p − 1)-cell complex with all cells in even dimensions. Then the loop space ΩX admits a retract Ā min(X) that is the evaluation of the functor Ā min on X. In this paper, we determine the homology H *(Ā min(X)) and give the EHP sequence for the spaces Ā min(X).

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Correspondence to J. Wu.

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Research is supported in part by the Academic Research Fund of the National University of Singapore R-146-000-101-112.

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Wu, J. The functor A min for (p − 1)-cell complexes and EHP sequences. Isr. J. Math. 178, 349–391 (2010). https://doi.org/10.1007/s11856-010-0068-z

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