On the planar translation structures
Mauro Biliotti, Giuseppe Micelli (1992)
Rendiconti del Seminario Matematico della Università di Padova
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Mauro Biliotti, Giuseppe Micelli (1992)
Rendiconti del Seminario Matematico della Università di Padova
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John Mitchem (1974)
Compositio Mathematica
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Bzoch, R., Morrell, J.S. (1978)
Portugaliae mathematica
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K. Oskolkow (1979)
Banach Center Publications
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Lorne Houten (1968)
Acta Arithmetica
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E. Fogels (1968)
Acta Arithmetica
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Z. Lipecki (1984)
Studia Mathematica
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Štefan Schwabik (1994)
Mathematica Bohemica
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A new definition of the product integral is given. The definition is based on a procedure which is analogous to the sum definition of the Bochner integral given by J. Kurzweil and E.J. McShane. The new definition is shown to be equivalent to the seemingly verey different one given by J.D. Dollard and C.N. Friedman in [1] and [2].
András Hajnal (2008)
Fundamenta Mathematicae
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Given a function f, a subset of its domain is a rainbow subset for f if f is one-to-one on it. We start with an old Erdős problem: Assume f is a coloring of the pairs of ω₁ with three colors such that every subset A of ω₁ of size ω₁ contains a pair of each color. Does there exist a rainbow triangle? We investigate rainbow problems and results of this style for colorings of pairs establishing negative "square bracket" relations.