3 papers
math.AT2026
Local Inertness of Poincaré duality complexes
Samik Basu, Sebastian Chenery, Ruizhi Huang +2
We prove that, under certain homological conditions, the attaching map of the top cell of a Poincaré duality complex is inert when localised away from a finite set of primes. This…
math.AT2025
Loop spaces of -dimensional Poincaré duality complexes whose -skeleton is a co--space
Lewis Stanton, Stephen Theriault
Under certain hypotheses, we prove a loop space decomposition for simply-connected Poincaré Duality complexes of dimension whose -skeleton is a co--space. This unifi…
math.AT2025
Polyhedral products associated to pseudomanifolds
Lewis Stanton, Stephen Theriault
We study the homotopy theory of polyhedral products associated to a combinatorial generalisation of manifolds known as pseudomanifolds. As special cases, we show that loop spaces o…