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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...

Disgrifiad llawn

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awduron: Raúl Escobedo Escobedo Conde, Eduardo García Muñoz, Jorge E. Vega
Fformat: Artigo
Iaith:Espanhol
Cyhoeddwyd: Universidad Industrial de Santander 2025-10-01
Cyfres:Revista Integración
Pynciau:
Mynediad Ar-lein:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/16726
Tagiau: Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!