When is a cellular-countably-compact space, countably compact?
We continue the study of cellular-compact spaces and the larger class of cellular-countably-compact spaces. We give a number of sufficient conditions involving local bases and local π -bases in order that a cellular-countably-compact space be countably compact and some conditions which imply that a...
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| Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2023-10, Vol.117 (4), Article 163 |
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| container_title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas |
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| creator | Alas, Ofelia T. Gutiérrez-Domínguez, L. Enrique Wilson, Richard G. |
| description | We continue the study of cellular-compact spaces and the larger class of cellular-countably-compact spaces. We give a number of sufficient conditions involving local bases and local
π
-bases in order that a cellular-countably-compact space be countably compact and some conditions which imply that a topology is maximal with respect to being cellular-countably-compact are obtained. We also consider the compact productivity of the previously mentioned properties and give a characterization of those spaces whose product with a compact space is almost cellular-countably-compact. |
| doi_str_mv | 10.1007/s13398-023-01495-7 |
| format | Article |
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| ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2023-10, Vol.117 (4), Article 163 |
| issn | 1578-7303 1579-1505 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Applications of Mathematics Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Theoretical Topology |
| title | When is a cellular-countably-compact space, countably compact? |
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