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The maximal class with respect to maximums for the family of upper semicontinuous strong Świątkowski functions
(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.
The closures of arithmetic progressions in the common division topology on the set of positive integers
(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 ...
Maximal Classes For Lower And Upper Semicontinuous Strong Świątkowski Functions
(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, ...