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Keywords:
cell-like; continuum; dendrite; hyperspace; induced mapping; monotone; \newline near-homeomorphism; refinable
cell-like; continuum; dendrite; hyperspace; induced mapping; monotone; \newline near-homeomorphism; refinable
Summary:
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.
References:
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