Geodesic
Making factorizations compositive
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 749-759

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The main aim of this paper is to obtain compositive cone factorizations from non-compositive ones by itereration. This is possible if and only if certain colimits of (possibly large) chains exist. In particular, we show that (strong-epi, mono) factorizations of cones exist if and only if joint coequalizers and colimits of chains of regular epimorphisms exist.
Classification : 03E10, 18A20, 18A30, 18A32
Keywords: (locally) orthogonal $\Cal E$-factorization; (local) factorization class; colimit of a chain; cointersection; regular epimorphism; joint coequalizer; (familially) strong epimorphism; decomposition number 
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     author = {B\"orger, Reinhard},
     title = {Making factorizations compositive},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {749--759},
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     volume = {32},
     number = {4},
     year = {1991},
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     zbl = {0760.18001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a17/}
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Börger, Reinhard. Making factorizations compositive. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 749-759. http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a17/