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A loop space whose homology has torsion of all orders

A loop space whose homology has torsion of all orders

In this note we will construct a simply-connected finite CW complex X of dimension four with the following property.For each positive integer m, there is an element ω w of order m in π m + ι (ΩX) whose Hurewicz image h(ω m ) e H m + 1 (Q,X) …