EXTENSION OF THE CANTOR SET: THE MIDDLE kth CONCEPT

  • Valentine Achegbe Hornuvo KNUST
  • William Obeng-Denteh KNUST
Keywords: general formula, line segment, extension, Cantor set

Abstract

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.

References

Obeng-Denteh, W., Amoako-Yirenkyi, P., & Owusu Asare, J. (2016). Cantor Ternary Set Formula-Basic Approach, British Journal of Mathematics and Computer Science, 13(1):1-6, DOI: 10.9734/BJMCS/2016/21435
Published
2018-01-31