Connectedness of the theory of non-surjective injections
Stanisław Świerczkowski (1995)
Fundamenta Mathematicae
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Stanisław Świerczkowski (1995)
Fundamenta Mathematicae
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E. Bombieri, S. Sperber (1995)
Acta Arithmetica
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Yoshiharu Kohayakawa, Tomasz Łuczak, Vojtěch Rödl (1996)
Acta Arithmetica
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L. Lewis Jr. (1995)
Fundamenta Mathematicae
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Tadeusz Dobrowolski, Witold Marciszewski (1995)
Fundamenta Mathematicae
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Rüdiger Göbel, R. Shortt (1994)
Fundamenta Mathematicae
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Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
Claudia Spiro-Silverman (1995)
Acta Arithmetica
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Valentin Gutev, Haruto Ohta (2000)
Fundamenta Mathematicae
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The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his. Later on, it was recognized by Takao Hoshina as a question that is of fundamental importance in the theory of rectangular normality. The present paper provides a complete affirmative solution. The technique developed for the purpose allows one to answer also another question of Przymusiński's.