International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 10, Pages 613-620
doi:10.1155/S0161171202011407

Mappings of terminal continua

Janusz J. Charatonik

Mathematical Institute, University of Wrocław, pl. Grunwaldzki 2/4, Wrocław 50-384, Poland

Abstract

The concept of a terminal continuum introduced in 1973 by G. R. Gordh Jr., for hereditarily unicoherent continua is extended to arbitrary continua. Mapping properties of these two concepts are investigated. Especially the invariance of terminality under mappings satisfying some special conditions is studied. In particular, we conclude that the invariance holds for atomic mappings.