On Density of Pairs of Natural Numbers
Rzepecka, Genowefa (2015-12-08T07:20:54Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Rzepecka, Genowefa (2015-12-08T07:20:54Z)
Acta Universitatis Lodziensis. Folia Mathematica
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David Lubell (1971)
Acta Arithmetica
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Guillaume Bordes (2005)
Acta Arithmetica
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Michał Lorens (1974)
Annales Polonici Mathematici
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Tom Sanders (2011)
Acta Arithmetica
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Václav Kijonka (2007)
Acta Mathematica Universitatis Ostraviensis
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In this paper it is discus a relation between -density and -density. A generalization of Šalát’s result concerning this relation in the case of asymptotic density is proved.
Erwin Kasparek, Michal Lorens (1971)
Annales Polonici Mathematici
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Wilczyński, Władysław
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K. Ciesielski, K. Ostaszewski (1990)
Forum mathematicum
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K. Ciesielski, L. Larson (1991)
Fundamenta Mathematicae
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The ℑ-density topology on ℝ is a refinement of the natural topology. It is a category analogue of the density topology [9, 10]. This paper is concerned with ℑ-density continuous functions, i.e., the real functions that are continuous when the ℑ-densitytopology is used on the domain and the range. It is shown that the family of ordinary continuous functions f: [0,1]→ℝ which have at least one point of ℑ-density continuity is a first category subset of C([0,1])= f: [0,1]→ℝ: f is continuous...