EXTENSION OF THE CANTOR SET: THE MIDDLE kth CONCEPT
The Cantor set through which the basics of point - set topology were laid, was presented in 1883 by a German Mathematician, Georg Cantor. It is merely a subset of the closed interval [0, 1], which has notable properties. The current construction which is the Cantor ternary set was constructed by deleting the middle thirds of a line segment. In this study we shall establish the general formula for deleting the middle k th , where k = 2x + 1 ∀ x ∈ N.