3 papers
math.CO2026
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…
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…