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

Abstract

Let $X$ be a co-$H$-space of $(p-1)$-cell complex with all cells in even dimensions. Then the loop space $\Omega X$ 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 $H_{\ast }({\bar{A}}^{\min }(X))$ and give the $\EHP$ sequence for the spaces ${\bar{A}}^{\min }(X)$.

32 pages