International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 681-688
doi:10.1155/S0161171297000938

Local connectivity and maps onto non-metrizable arcs

J. Nikiel1 , L.B. Treybig2 and H.M. Tuncali3

1American University of Beirut, Beirut, Lebanon
 2Texas A \& M University, College Station 77843-3368, Texas, USA
 3Nipissing University, Ontario, North Bay P1B 8L7, Canada

Abstract

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.