Some Topological Properties of Minkowski Difference in Euclidean Spacess
DOI:
https://doi.org/10.56143/ujmcs.v2i2.4/Ключевые слова:
topological vector space; Minkowski difference; support functions; class of compact convex sets; continuous mappingАннотация
This paper examines important topological properties of Minkowski operations, namely, the preservation of density by the Minkowski difference and its continuity. We obtain a condition under which the density property of sets is preserved by the Minkowski difference. Furthermore, we establish that the Minkowski difference operation is continuous.
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