7 papers
Realizing orders in rational sphere product algebras with three generators
Tseleung So, Donald Stanley, Stephen Theriault +1
The realization problem asks which algebras can be realized as the cohomology of spaces. We study this problem in the context of the orders in a graded rational exterior algebra on…
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 d…
On the homotopy types of -dimensional toric orbifolds
Tyrone Cutler, Tseleung So
The cohomological rigidity problem for toric orbifolds asks when an integral cohomology isomorphism implies a homotopy equivalence. In this paper we reformulate the cohomological r…
Integral bases for the second degree cohomology of 4-dimensional toric orbifolds
Tseleung So, Jongbaek Song
We study toric orbifolds of real dimension four with vanishing odd-degree cohomology and obtain a basis for its degree-two equivariant cohomology with integral coefficients by iden…
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…
Steenrod operations for -dimensional toric orbifolds
Tseleung So
We prove necessary and sufficient conditions for the existence of non-trivial Steenrod actions on the mod- cohomology of 4-dimensional toric orbifolds. As applications, the stab…