Geodesic
Linking the closure and orthogonality properties of perfect morphisms in a category
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 587-607

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We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and ortho\-go\-na\-lity properties of such morphisms. A number of detailed examples are given.
We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and ortho\-go\-na\-lity properties of such morphisms. A number of detailed examples are given.
Classification : 18A20, 18B30, 54B30, 54C10
Keywords: perfect morphism; (pullback) closure operator; factorisation theory; orthogonal morphisms 
Holgate, David. Linking the closure and orthogonality properties of perfect morphisms in a category. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 3, pp. 587-607. http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a14/
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     author = {Holgate, David},
     title = {Linking the closure and orthogonality properties of perfect morphisms in a category},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {587--607},
     year = {1998},
     volume = {39},
     number = {3},
     mrnumber = {1666810},
     zbl = {0970.18002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_3_a14/}
}
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