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math.AT2023
Suspension splittings of 5-dimensional Poincaré duality complexes and their applications
Steven Amelotte, Tyrone Cutler, Tseleung So
Let be a connected, orientable, 5-dimensional Poincaré duality complex with torsion-free . We show that is homotopy equivalent to a wedge of recognisabl…
math.AT2023
Weighted polyhedral products and Steenrod's problem
Tseleung So, Donald Stanley, Stephen Theriault
We construct a weighted version of polyhedral products and compute its cohomology in special cases. This is applied to resolve Steenrod's cohomology realization problem in a case r…
math.AT2023
The integral cohomology rings of four-dimensional toric orbifolds
Xin Fu, Tseleung So, Jongbaek Song
Let be a 4-dimensional toric orbifold associated to a polygon and a characteristic function . Assuming that is locally smooth over a vertex of , we dete…