Mappings between Inverse Limits of Continua with Multivalued Bonding Functions
We investigate the limit mappings between inverse limits of continua with upper semi-continuous bonding functions. Results are obtained when the coordinate mappings are surjective, one-to-one or homeomorphisms. We construct examples showing the hypothesis of the theorems are essential. Further, we construct an example showing that, unlike for the inverse limits with single valued maps, properties of being monotone, confluent or weakly confluent mappings between factor spaces are not preserved in the inverse limit map.
W. J. Charatonik and R. P. Roe, "Mappings between Inverse Limits of Continua with Multivalued Bonding Functions," Topology and its Applications, Elsevier, Jan 2012.
The definitive version is available at http://dx.doi.org/10.1016/j.topol.2011.09.008
Mathematics and Statistics
Keywords and Phrases
Continuum; Inverse Limit; Limit Mapping; Set-valued Functions
Article - Journal
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