A combinatorial perspective on shape theory
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.
Authors
- Pedro J. Chocano (ORCID: https://orcid.org/0000-0003-0447-7212)
- Francisco R. Ruiz del Portal (ORCID: https://orcid.org/0000-0001-5476-0193)
- Manuel A. Morón (ORCID: https://orcid.org/0000-0003-1163-9291)
Institutions
- Universidad Complutense de Madrid (ES)
- Universidad Rey Juan Carlos (ES)
Publication Details
- Journal
- Journal of the Mathematical Society of Japan
- Published
- 2025-07-01
- DOI
- https://doi.org/10.2969/jmsj/89688968
- Citations
- 1
- Primary Topic
- Topological and Geometric Data Analysis
- Type
- article
- Field-Weighted Citation Impact
- 1.50