A combinatorial description of shape theory
General Topology
2022-05-09 v1 Algebraic Topology
Combinatorics
Abstract
We give a combinatorial description of shape theory using finite topological -spaces (finite partially ordered sets). This description may lead to a sort of computational shape theory. Then we introduce the notion of core for inverse sequences of finite spaces and prove some properties.
Cite
@article{arxiv.2205.03034,
title = {A combinatorial description of shape theory},
author = {Pedro J. Chocano and Manuel A. Morón and Francisco R. Ruiz del Portal},
journal= {arXiv preprint arXiv:2205.03034},
year = {2022}
}
Comments
20 pages, 7 figures