W\l odzimierz J. Charatonik
Induced near-homeomorphisms

Comment.Math.Univ.Carolinae 41,1 (2000) 133-137.

Abstract:We construct examples of mappings $f$ and $g$ between locally connected continua such that $2^f$ and $C(f)$ are near-homeomorphisms while $f$ is not, and $2^g$ is a near-homeomorphism, while $g$ and $C(g)$ are not. Similar examples for refinable mappings are constructed.

Keywords: cell-like, continuum, dendrite, hyperspace, induced mapping, monotone, \newline near-homeomorphism, refinable
AMS Subject Classification: 54B20, 54E40