International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 4, Pages 681-688
Local connectivity and maps onto non-metrizable arcs
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
Copyright © 1997 J. Nikiel et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.