Expand-contract plasticity on the real line

Autor: Dirk Langemann, Olesia Zavarzina
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
Druh dokumentu: article
ISSN: 2297-4687
DOI: 10.3389/fams.2024.1387012
Popis: The study deals with plastic and non-plastic sub-spaces A of the real-line ℝ with the usual Euclidean metric d. It investigates non-expansive bijections, proves properties of such maps, and demonstrates their relevance by hands of examples. Finally, it is shown that the plasticity property of a sub-space A contains at least two complementary questions, a purely geometric and a topological one. Both contribute essential aspects to the plasticity property and get more critical in higher dimensions and more abstract metric spaces.
Databáze: Directory of Open Access Journals