2024/03/03 by D. Akalın, Akalın, D., Murad Özkoç +1
Mathematics · #54C10 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #General Topology (math.GN) #Mathematical Approximation and Integration #Primary 54C08 #Secondary 54C05
paper · pdf · doi:10.48550/arxiv.2403.01604
openalex publication_date 2024/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper aims to study the notion of e^*-θ-open \citeOzkoc1 sets and to investigate new properties of this notion. Also, we define a new type of set, called e^*-θ-D-set, via the notion of e^*-θ-open set. Moreover, we introduce some new separation axioms by utilizing e^*-θ-D-sets. We obtain many results related to these new notions. In addition, the notions of e^*-θ-kernel and slightly e^*-θ-R0 space are defined. Some characterizations regarding these new notions have been obtained. Furthermore, we have given many examples concerning the mentioned notions. Finally, we not only put forward the definition of e^*-R1 space but also obtained some of its characterizations.