Article ID Journal Published Year Pages File Type
844129 Nonlinear Analysis: Theory, Methods & Applications 2008 6 Pages PDF
Abstract

Let C×C be the product of the Middle Third Cantor set with itself. We prove that the minimum of the upper convex density of C×C is achieved at the vertex, that is, Dcs¯(C×C,V)≤Dcs¯(C×C,x),∀x∈C×C, where VV is a vertex of C×C.

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Physical Sciences and Engineering Engineering Engineering (General)
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The minimum of the upper convex density of the product of the Cantor set with itself
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