Inverse Limits and Openness of the Induced Mappings
The pointed versions of exactness of commutative diagrams and of exactness and limit exactness of mappings between inverse systems are introduced. These concepts are used to investigate interiority of a limit mapping between inverse limits of topological spaces. The obtained results are applied to show openness of some induced mappings between hyperspaces.
J. J. Charatonik and W. J. Charatonik, "Inverse Limits and Openness of the Induced Mappings," Topology and its Applications, Elsevier, Aug 2001.
The definitive version is available at http://dx.doi.org/10.1016/S0166-8641(00)00044-4
Mathematics and Statistics
Keywords and Phrases
Exact Diagram; Induced Mapping; Inverse Limit; Inverse System; Limit Mapping; Open Mapping; Hyperspace
Article - Journal
© 2001 Elsevier, All rights reserved.