Construction of Cantor Type Sets in R^2 And R^3 and Study of Their Properties

Divate B.B.

Abstract


The aim of this paper is to construct general Cantor like sets in two dimensional space R^2 and three dimensional  space R^3 and to study their properties related with areas , volumes , Riemann and Lebesgue  integrability.

Keywords: Canter Set, Smith-Voltera, Geometric Series, Compact set, Uncountable Set.


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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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