3 papers
math.CO2025
On the inverse limits of finite posets
Jing-Wen Gao, Xiao-Song Yang
In this paper, we show that any finite simplicial complex is homeomorphic to the inverse limit of a sequence of finite posets, which is an extension of Claders result.
math.CO2025
Reconstruction of mapping spaces by inverse limits
Jing-Wen Gao, Xiao-Song Yang
Extending the results of reconstruction of compact metric spaces by inverse limits, we show that if are compact metric spaces, then the mapping space is homo…
math.CO2024
Discrete homotopy and homology theories for finite posets
Jing-Wen Gao, Xiao-Song Yang
This paper presents a discrete homotopy theory and a discrete homology theory for finite posets. In particular, the discrete and classical homotopy groups of finite posets are alwa…