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. Nikiel,1 L. B. Treybig,2 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
Received 15 December 1995; Revised 6 July 1996

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.