On a class of densities of sets of positive integers.
Mačaj, M., Mišík, L., Šalát, T., Tomanová, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Mačaj, M., Mišík, L., Šalát, T., Tomanová, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Péter Komjáth (1995)
Colloquium Mathematicae
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J. Nymann (1995)
Colloquium Mathematicae
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A. Plichko, A. Razenkov (1996)
Colloquium Mathematicae
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Bryan P. Rynne (1992)
Acta Arithmetica
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Michał Morayne (1992)
Fundamenta Mathematicae
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We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
F. S. De Blasi, G. Pianigiani (1992)
Annales Polonici Mathematici
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An existence theorem for the cauchy problem (*) ẋ ∈ ext F(t,x), x(t₀) = x₀, in banach spaces is proved, under assumptions which exclude compactness. Moreover, a type of density of the solution set of (*) in the solution set of ẋ ∈ f(t,x), x(t₀) = x₀, is established. The results are obtained by using an improved version of the baire category method developed in [8]-[10].
Kulczycki, Marcin (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Udayan Darji (1993)
Colloquium Mathematicae
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Galvin and Prikry defined completely Ramsey sets and showed that the class of completely Ramsey sets forms a σ-algebra containing open sets. However, they used two definitions of completely Ramsey. We show that they are not equivalent as they remarked. One of these definitions is a more uniform property than the other. We call it the uniformly completely Ramsey property. We show that some of the results of Ellentuck, Silver, Brown and Aniszczyk concerning completely Ramsey sets also...
Dirk Jens F. Nonnenmacher (1994)
Annales Polonici Mathematici
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Modifying Mawhin's definition of the GP-integral we define a well-behaved integral over n-dimensional compact intervals. While its starting definition is of Riemann type, we also establish an equivalent descriptive definition involving characteristic null conditions. This characterization is then used to obtain a quite general form of the divergence theorem.
Fedorchuk, V.M., Fedorchuk, V.I. (2006)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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