Geodesic
On projectively quotient functors
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 561-573

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MR Zbl
We introduce notions of projectively quotient, open, and closed functors. We give sufficient conditions for a functor to be projectively quotient. In particular, any finitary normal functor is projectively quotient. We prove that the sufficient conditions obtained are necessary for an arbitrary subfunctor $\Cal F$ of the functor $\Cal P$ of probability measures. At the same time, any ``good'' functor is neither projectively open nor projectively closed.
We introduce notions of projectively quotient, open, and closed functors. We give sufficient conditions for a functor to be projectively quotient. In particular, any finitary normal functor is projectively quotient. We prove that the sufficient conditions obtained are necessary for an arbitrary subfunctor $\Cal F$ of the functor $\Cal P$ of probability measures. At the same time, any ``good'' functor is neither projectively open nor projectively closed.
Classification : 18B30, 54B30, 54D30
Keywords: projectively closed functor; finitary functor; functor of probability measures 
Zhuraev, T. F. On projectively quotient functors. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 561-573. http://geodesic.mathdoc.fr/item/CMUC_2001_42_3_a14/
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     title = {On projectively quotient functors},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {561--573},
     year = {2001},
     volume = {42},
     number = {3},
     mrnumber = {1860245},
     zbl = {1053.54019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2001_42_3_a14/}
}
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