Cantor's Ternary Set Formula-Basic Approach
W. Obeng-Denteh *
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Private Mail Bag-Kumasi, Ghana.
Peter Amoako-Yirenkyi
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Private Mail Bag-Kumasi, Ghana.
James Owusu Asare
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Private Mail Bag-Kumasi, Ghana.
*Author to whom correspondence should be addressed.
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.
Keywords: Open middle-third, interval, cantor set, geometry, point-set topology.