On the Upper and Lower Limits of Mappings on Topological Spaces
WU Xin-xing
Abstract
WU Xin-xing
Abstract
In this paper,the definitions of upper and lower limits of mappings are introduced.By using the methods of net and net convergence on topological space,a class of characterizations of the upper limit are obtained.Besides,we get similar results for the lower limit.
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In this paper,the definitions of upper and lower limits of mappings are introduced.By using the methods of net and net convergence on topological space,a class of characterizations of the upper limit are obtained.Besides,we get similar results for the lower limit.
Key concepts: Limit (mathematics), Net (polyhedron), Mathematics, Upper and lower bounds, Topological space, Convergence (economics), Class (philosophy), Topology (electrical circuits)