On δ-Scattered Space

Autor: Zainab Aodeh A. Mohammed
Rok vydání: 2022
Zdroj: Earthline Journal of Mathematical Sciences. :85-96
ISSN: 2581-8147
DOI: 10.34198/ejms.10122.8596
Popis: The object of the present paper is to introduce the concept of δ-scattered spaces as a natural generalization of the concept of scattered spaces. We prove that the concept of δ-scatteredness of the space coincides with scatteredness. It is noted that scattered need not be δ-scattered in general, also I-space are comparable with δ-scattered space. We start out by giving a characterization of δ-scattered spaces. We study relationships between δ-scatteredness and with scattered, semi-scattered, α-scattered, sub maximal, irresolvable and N-scattered.
Databáze: OpenAIRE