A combinatorial perspective on shape theory
Pedro J. Chocano, Manuel A. Morón, Francisco Romero Ruiz del Portal · Journal of the Mathematical Society of Japan · 2025
We give a description of shape theory using finite topological $T_{0}$-spaces (finite partially ordered sets). This description serves as a first step towards developing computational methods in shape theory for future works. Additionally, we introduce the notion of core for inverse sequences of finite topological spaces and prove some properties.