Formulation of Convergence and Continuity in Variation of Sets in a Different Way from Sequences of Sets and Correspondence

Takefumi Fujimoto

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arXiv · 2003.09587

Formulation of Convergence and Continuity in Variation of Sets in a Different Way from Sequences of Sets and Correspondence

Takefumi Fujimoto

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Abstract

This paper treats the variation of sets. We attempt to formulate convergence and continuity of set-valued functions in a different way from the theories on sequences of sets and correspondence. In the final section, we also attempt to define differentiation of set-valued functions in a Euclidean space by bijection between two sets.

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BibTeX RIS

Takefumi Fujimoto. 2020-03-21. Formulation of Convergence and Continuity in Variation of Sets in a Different Way from Sequences of Sets and Correspondence. https://arxiv.org/abs/2003.09587

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