2012Journal of Southwest China Normal UniversityRequires access

On the Upper and Lower Limits of Mappings on Topological Spaces

WU Xin-xing

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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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What this paper is about

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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Available 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.

Key concepts: Limit (mathematics), Net (polyhedron), Mathematics, Upper and lower bounds, Topological space, Convergence (economics), Class (philosophy), Topology (electrical circuits)

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