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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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/
@article{CMUC_2001_42_3_a14,
     author = {Zhuraev, T. F.},
     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/}
}
TY  - JOUR
AU  - Zhuraev, T. F.
TI  - On projectively quotient functors
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2001
SP  - 561
EP  - 573
VL  - 42
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_2001_42_3_a14/
LA  - en
ID  - CMUC_2001_42_3_a14
ER  - 
%0 Journal Article
%A Zhuraev, T. F.
%T On projectively quotient functors
%J Commentationes Mathematicae Universitatis Carolinae
%D 2001
%P 561-573
%V 42
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_2001_42_3_a14/
%G en
%F CMUC_2001_42_3_a14