The Cantor Set

Alexander Yu. Shibakov

The Ural University, Ekaterinburg

Andrzej Trybulec

Warsaw University, Bialystok

Summary.

The aim of the paper is to define some basic notions of the theory of topological spaces like basis and prebasis, and to prove their simple properties. The definition of the Cantor set is given in terms of countable product of $\{0,1\}$ and a collection of its subsets to serve as a prebasis.

The present work had been completed while the first author's visit to Bia{\l}ystok in winter 1994--95.

MML Identifier: CANTOR_1

Contents (PDF format)

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