We construct examples of mappings f and g between locally connected continua such that 2f and C(f) are near-homeomorphisms while f is not, and 2g is a near-homeomorphism, while g and C(g) are not. Similar examples for refinable mappings are constructed.
W. J. Charatonik, "Induced Near-Homeomorphisms," Commentationes Mathematicae Universitatis Carolinae, Charles University, Jan 2000.
Mathematics and Statistics
Keywords and Phrases
Cell-Like; Continuum; Induced Mapping; Monotone; Near-Homeomorphism; Refinable; Dendrites; Hyperspace
Article - Journal
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