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arXiv · 1002.0929

The Functor $A^{\min}$ for $(p-1)$-cell Complexes and $\EHP$ Sequences

Jie Wu
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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 $\bar A^{\min}(X)$ that is the evaluation of the functor $\bar A^{\min}$ on $X$. In this paper, we determine the homology $H_*(\bar A^{\min}(X))$ and give the $\EHP$ sequence for the spaces $\bar A^{\min}(X)$.

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Jie Wu. 2010-02-04. The Functor $A^{\min}$ for $(p-1)$-cell Complexes and $\EHP$ Sequences. https://arxiv.org/abs/1002.0929

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