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Characterizing local connectedness by non-cut sets in continua

We prove that for a continuum X, the following conditions are equivalent: (i) the continuum X is locally connected, (ii) each non-cut set of X has arbitrarily small open neighborhoods whose complements are connected, (iii) each non-cut set of X has continuum-wise connected complement, (iv) the cont...

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Auteurs principaux: Raúl Escobedo Escobedo Conde, Eduardo García Muñoz, Jorge E. Vega
Format: Artigo
Langue:Espanhol
Publié: Universidad Industrial de Santander 2025-10-01
Collection:Revista Integración
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Accès en ligne:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/16726
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