Expansive homeomorphisms on quasi-metric spaces

Autor:	Olivier Olela Otafudu, Dibona Peggy Matladi, Mcedisi Sphiwe Zweni
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	expansive homeomorphism canonical coordinates hyperbolic coordinates Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 25, Iss 1, Pp 1-15 (2024)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2024.19855
Popis:	The investigation of expansive homeomorphisms in metric spaces began with Utz in 1950. Thereafter, several authors have extensively studied this concept for different motivations. In this current article, we study expansive homeomorphism in the context of quasi-pseudometric spaces. This is motivated by the fact that any expansive homeomorphism on quasi-pseudometric space is again expansive homeomorphism on its induced pseudometric space but the converse is not true in general. Moreover, the study of orbit structures has been taken to consideration in this article. For instance, we investigate the denseness of orbits in the context of quasi-metric spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ab7d18e9fd3840c98791fcfafee2be5e Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF