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2007•Communications of the Korean Mathematical SocietyOpen access

DIMENSIONS OF DISTRIBUTION SETS IN THE UNIT INTERVAL

In-Soo Baek

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Abstract

The unit interval is not homeomorphic to a self-similar Cantor set in which we studied the dimensions of distribution subsets. However we show that similar results regarding dimensions of the distribution subsets also hold for the unit interval since the distribution subsets have similar structures with those in a self-similar Cantor set.

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What this paper is about

The unit interval is not homeomorphic to a self-similar Cantor set in which we studied the dimensions of distribution subsets. However we show that similar results regarding dimensions of the distribution subsets also hold for the unit interval since the distribution subsets have similar structures with those in a self-similar Cantor set.

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Available abstract

The unit interval is not homeomorphic to a self-similar Cantor set in which we studied the dimensions of distribution subsets. However we show that similar results regarding dimensions of the distribution subsets also hold for the unit interval since the distribution subsets have similar structures with those in a self-similar Cantor set.

Key concepts: Unit interval, Mathematics, Cantor set, Interval (graph theory), Unit (ring theory), Distribution (mathematics), Combinatorics, Cantor function

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