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Research Article Open access CC BY 4.0

Cantor's Ternary Set Formula-Basic Approach

W. Obeng-Denteh, Peter Amoako-Yirenkyi, James Owusu Asare

Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 24 Nov 2015

10.9734/BJMCS/2016/21435

Abstract

Georg Cantor (1845-1918) introduced the notion of the cantor set, which consists of points along a single line segment with a number of remarkable and deep properties. This paper aims to emphasize a proceeding to obtain the Cantor (ternary) set, C by means of the so-called elimination of the open-middle third at each step using a general basic approach in constructing the set.

Open middle-third interval cantor set geometry point-set topology.

Cited by 2

Photonic Band Gap and Fractal Resonances in Aperiodic Cantor-like Self-Similar a:SiNx Photonic Structures

Albin Kuriakose, Jitendra Nath Acharyya, Pankaj Srivastava · ACS Applied Optical Materials · 2024

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