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

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

2010-02-04

arxiv.org/abs/1002.0929v1

Mathematics

Algebraic Topology

32 pages

Scientific paper

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 $H_*(\bar A^{\min}(X))$ and give the $\EHP$ sequence for
the spaces $\bar A^{\min}(X)$.

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