3 papers
math.AT2026
On small covers over Bier spheres
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
The Bier sphere of a simplicial complex is defined as the deleted join of and its combinatorial Alexander dual. We focus on the class of Bier spheres of the skeleta of a si…
eess.SP2025
Shape-Aware Topological Representation for Pipeline Hyperbola Detection in GPR Data
Meiyan Kang, Shizuo Kaji, Sang-Yun Lee +3
Ground Penetrating Radar (GPR) is a widely used Non-Destructive Testing (NDT) technique for subsurface exploration, particularly in infrastructure inspection and maintenance. Howev…
math.CO2025
Full subcomplexes of Bier spheres
Suyoung Choi, Younghan Yoon, Seonghyeon Yu
Full subcomplexes of a simplicial complex encode essential structure for understanding the complex itself. For a simplicial complex , possibly with a ghost vertex, the Bier sphe…