On localization of the star-Menger selection principle
| Autor: | Debraj Chandra, Nur Alam |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Matematik Pure mathematics Algebra and Number Theory Property (philosophy) Mathematics::General Topology locally star-Menger effectively locally star-Menger Pixley-Roy hyperspace decomposition remainder star-Menger Menger Star (graph theory) Space (mathematics) Mathematics::Logic Selection principle Decomposition (computer science) Astrophysics::Solar and Stellar Astrophysics Astrophysics::Earth and Planetary Astrophysics Geometry and Topology Remainder Mathematics Astrophysics::Galaxy Astrophysics Analysis |
| Zdroj: | Volume: 50, Issue: 4 1155-1168 Hacettepe Journal of Mathematics and Statistics |
| ISSN: | 2651-477X |
| Popis: | In this paper we primarily introduce the local version of star-Menger property, namely locally star-Menger property (a space with this property is called locally star-Menger) and present some important topological observations. Certain interactions between the new notion and star-Menger property are also observed. Some observations on effectively locally star-Menger Pixley-Roy hyperspaces (introduced here) are obtained. Preservation like properties under several topological operations are also interpreted carefully. Besides, several results on decomposition and remainder of locally star-Menger spaces are also presented. |
| Databáze: | OpenAIRE |
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