3 papers
math.AT2025
A "Periodicity" Phenomenon of the Attaching Map of the Suspended Two-Cell Complex
Juxin Yang, Fengchun Lei, Jingyan Li +1
In this paper, we determine the 3-cell skeleton of , where is the homotopy fiber of the canonical pinch map from a suspension of a simply-connected 2-cell complex onto a sph…
math.AT2024
IntComplex for high-order interactions
Xiang Liu, Ran Liu, Jingyan Li +2
Graphs serve as powerful tools for modeling pairwise interactions in diverse fields such as biology, material science, and social networks. However, they inherently overlook intera…
math.AT2024
Primitive path homology
Jingyan Li, Yuri Muranov, Jie Wu +1
In this paper we introduce a primitive path homology theory on the category of simple digraphs. On the subcategory of asymmetric digraphs, this theory coincides with the path homol…