• 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 {Zpw, Zp ={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.
Keywords
A*-Algebras, Cantor set, Cantor 5-ary set and p-ring.
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