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math.AT2023
Simple homotopy types of even dimensional manifolds
Csaba Nagy, John Nicholson, Mark Powell
Given a closed -manifold, we consider the set of simple homotopy types of -manifolds within its homotopy type, called its simple homotopy manifold set. We characterise it in…
math.AT2019★ 10 cited
On CW-complexes over groups with periodic cohomology
John Nicholson
If has -periodic cohomology, then D2 complexes over are determined up to polarised homotopy by their Euler characteristic if and only if has at most two one-dimensio…