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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, Texas 77843-3368, USA
3Nipissing University, Ontario, North Bay P1B 8L7, Canada

Received 15 December 1995; Revised 6 July 1996

Copyright © 1997 Hindawi Publishing Corporation. 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.