Publicado 2015-06-24
Palabras clave
- \(\aleph_0\)-\(sn\)-networks,
- \(\aleph\)-space,
- \(\aleph_0\)-space,
- \(\aleph_0\)-\(sn\)-weakly first-countable,
- cs∗- network.
Derechos de autor 2025 Scientia
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.
Cómo citar
On \(\aleph_0\)-\(sn\)-networks. (2015). Scientia, 26, 13-17. https://revistas.usm.cl/scientia/article/view/224
Resumen
In this paper, we discuss spaces with \(\aleph_0\)-\(sn\)-networks and give some characterizations of \(\aleph_0\)-\(sn\)-metric spaces. For a space \(X\) we prove that \(X\) has a point-countable \(\aleph_0\)-\(sn\)-network if and only if \(X\) is an sequentially quotient, countable-to-one image of a metric space. and \(X\) is an \(\aleph_0\)-\(sn\)-metric space if and only if \(X\) is a sequentially quotient, \(\sigma\), countable-to-one image of a metric space
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