On Traditional Menger and Rothberger Variations
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916956692545536 |
|---|---|
| author | Caruvana, Christopher Clontz, Steven Holshouser, Jared |
| author_facet | Caruvana, Christopher Clontz, Steven Holshouser, Jared |
| contents | We present a comprehensive report on the relationships between variations of the Menger and Rothberger selection properties with respect to $ω$-covers and $k$-covers in the most general topological setting and address the finite productivity of some of these properties. We collect various examples that separate certain properties and we carefully identify which separation axioms simplify aspects of these properties. We finish with a consolidated list of open questions focused on topological examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19789 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Traditional Menger and Rothberger Variations Caruvana, Christopher Clontz, Steven Holshouser, Jared General Topology 54D20, 91A44 We present a comprehensive report on the relationships between variations of the Menger and Rothberger selection properties with respect to $ω$-covers and $k$-covers in the most general topological setting and address the finite productivity of some of these properties. We collect various examples that separate certain properties and we carefully identify which separation axioms simplify aspects of these properties. We finish with a consolidated list of open questions focused on topological examples. |
| title | On Traditional Menger and Rothberger Variations |
| topic | General Topology 54D20, 91A44 |
| url | https://arxiv.org/abs/2403.19789 |