S-Metrizability and the Wallman basis of a frame
| Autor: | Cerene Rathilal |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Categories and General Algebraic Structures with Applications, Vol 20, Iss 1, Pp 155-174 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2345-5853 2345-5861 |
| DOI: | 10.48308/cgasa.2023.233801.1440 |
| Popis: | The Wallman basis of a frame and the corresponding induced compactification was first investigated by Baboolal [2]. In this paper, we provide an intrinsic characterisation of S-metrizability in terms of the Wallman basis of a frame. Particularly, we show that a connected, locally connected frame is S-metrizable if and only if it has a countable locally connected and uniformly connected Wallman basis. |
| Databáze: | Directory of Open Access Journals |
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