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arxiv: 1902.03299 · v1 · pith:7B2LYD57new · submitted 2019-02-08 · 🧮 math.FA

Generalization of Kuratowski problem in linear spaces

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keywords algebraickuratowskiproblemclosurelinearspaceapplyingcomplement
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In this short paper, Kuratowski problem will be investigated in vector space. The highest number of distinct sets that can be generated from one convex set in linear space by repeatedly applying algebraic closure and complement in any order is 8. Keywords: Kuratowski problem, algebraic interior, algebraic closure

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