On the maximal exact structure of an additive category
Wolfgang Rump (2011)
Fundamenta Mathematicae
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We prove that every additive category has a unique maximal exact structure in the sense of Quillen.
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Wolfgang Rump (2011)
Fundamenta Mathematicae
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We prove that every additive category has a unique maximal exact structure in the sense of Quillen.
Zbigniew Grande (1996)
Mathematica Slovaca
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Gunther Jäger (2017)
Mathematica Bohemica
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We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function. We give a suitable axiom scheme and show that the resulting category is isomorphic to the category of left-continuous probabilistic topological convergence spaces and hence is a topological category. We further show that the category of Lowen's approach spaces is...