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Connections between connected topological spaces on the set of positive integers
(De Gruyter Open, 2013)
In this paper we introduce a connected topology T on the set ℕ of positive integers whose base consists of all arithmetic progressions connected in Golomb’s topology. It turns out that all arithmetic progressions which are ...
Products of Internally Quasi-Continuous Functions
(De Gruyter Open, 2013)
In this paper we characterize the product of internally quasi- -continuous functions and we construct a bounded internally quasi-continuous strong Świa̧tkowski function which cannot be written as a finite product of ...