On Natural Coalgebra Decompositions of Tensor Algebras and Loop Suspensions

Considers functorial decompositions of $\Omega\Sigma X$ in the case where $X$ is a $p$-torsion suspension. By means of a geometric realization theorem, this title shows that the problem can be reduced to the one obtained by applying homology: that of finding natural coalgebra decompositions of tensor algebras.