LOCAL CONNECTIVITY AND MAPS ONTO NON-METRIZABLE ARCS

LOCAL CONNECTIVITY AND MAPS ONTO NON-METRIZABLE ARCS

Three classes of locally connected continua which admit sufficiently many maps onto non-metric arcs are investigated. It is proved that all continua in those classes are continuous images of arcs and, therefore, have other quite nice properties.

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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 1997-01, Vol.1997 (4), p.681-688
Hauptverfasser: Nikiel, J., Treybig, L. B., Tuncali, H. M.
Format: Artikel
Sprache:eng
Schlagworte:
arc
locally connected continuum
monotonically normal
rim-countable
rim-finite
rim-metrizable
rim-scattered
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Beschreibung
Zusammenfassung:Three classes of locally connected continua which admit sufficiently many maps onto non-metric arcs are investigated. It is proved that all continua in those classes are continuous images of arcs and, therefore, have other quite nice properties.
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171297000938