• CANTOR Q-ARY SET AND ITS TOPOLOGICAL PROPERTIES

Abstract

In this article we introduce the Cantor q-ary set (q=2p-1,p is prime), study its topological properties and prove a theorem that Cantor q-ary set and {Z_p^w, Z_p ={0,1,2,…,p-1}with discrete topology and w= {1,2,3,…} are homeomorphic and Cantor q-ary set is isomorphic to the p-ring generated by clopen subsets of  totally disconnected compact Hausdorffspace.