Publicado 2009-02-01
Palabras clave
- sequence-covering,
- pseudo-sequence-covering,
- subsequence-covering,
- sequentially-quotient.
Derechos de autor 2025 Scientia
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial 4.0.
Cómo citar
A Note on Secuence-Covering Images of Metric Spaces. (2009). Scientia, 17, 9-11. https://revistas.usm.cl/scientia/article/view/117
Resumen
In this brief note, we prove that every space is a sequence-covering image of a topological sum of convergent sequences. As the application of this result, sequence-covering images of locally compact metric spaces (or, locally separable metric spaces, metric spaces) and sequentially-quotient images of a locally compact metric spaces (or, locally separable metric spaces, metric spaces) are equivalent.
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