Przeglądaj według autora "Szczuka, Paulina"
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The closures of arithmetic progressions in the common division topology on the set of positive integers
Szczuka, Paulina (De Gruyter Open, 2014)In this paper we characterize the closures of arithmetic progressions in the topology T on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that if the prime number p is a ... -
Connections between connected topological spaces on the set of positive integers
Szczuka, Paulina (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 ... -
The maximal class with respect to maximums for the family of upper semicontinuous strong Świątkowski functions
Szczuka, Paulina (De Gruyter Open, 2014)The main goal of this paper is to characterize the maximal class with respect to maximums for the family of upper semicontinuous strong Świątkowski functions. -
Maximal Classes For Lower And Upper Semicontinuous Strong Świątkowski Functions
Szczuka, Paulina (De Gruyter Open, 2014)In this paper, we characterize the maximal additive and multiplicative classes for lower and upper semicontinuous strong Świątkowsk functions and lower and upper semicontinuous extra strong Świątkowski functions. Moreover, ... -
Maximums of extra strong Świątkowski functions
Szczuka, Paulina (De Gruyter Open, 2012)In this paper, we present some results concerning functions which are represented as the maximum of two extra strong Świątkowski functions. -
Products of Internally Quasi-Continuous Functions
Szczuka, Paulina; Marciniak, Mariola (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 ...