## 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

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