Countably regular good spaces and almost Cκ-spaces

[EN] In this paper, we build upon our previous studies by redefining fundamental concepts and transferring them from rings of continuous functions to rings of continuous functions with countable images. This article will focus on regular good spaces (``"RG-spaces", for short) and r...

Descripción completa

Detalles Bibliográficos
Autores: Hayati, Arash, Namdari, Mehrdad, Soltanpour, Somayeh
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/221856
Acceso en línea:https://riunet.upv.es/handle/10251/221856
Access Level:acceso abierto
Palabra clave:Functionally countable subalgebra
space of countable pseudocharacter
almost-resolvable space
CUC-space
CRG-space
almost Cκ-Baire space
almost CP-point
almost CP-space
Descripción
Sumario:[EN] In this paper, we build upon our previous studies by redefining fundamental concepts and transferring them from rings of continuous functions to rings of continuous functions with countable images. This article will focus on regular good spaces (``"RG-spaces", for short) and related concepts. Specifically, we introduce and examine two generalizations of RG-spaces, calling countably regular good spaces and strongly countably regular good spaces.