On projectively quotient functors

@article{Zhuraev2001,
abstract = {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 $\mathcal \{F\}$ of the functor $\mathcal \{P\}$ of probability measures. At the same time, any “good” functor is neither projectively open nor projectively closed.},
author = {Zhuraev, T. F.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {projectively closed functor; finitary functor; functor of probability measures; projectively closed functor; finitary functor; functor of probability measures},
language = {eng},
number = {3},
pages = {561-573},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On projectively quotient functors},
url = {http://eudml.org/doc/248802},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Zhuraev, T. F.
TI - On projectively quotient functors
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 3
SP - 561
EP - 573
AB - 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 $\mathcal {F}$ of the functor $\mathcal {P}$ of probability measures. At the same time, any “good” functor is neither projectively open nor projectively closed.
LA - eng
KW - projectively closed functor; finitary functor; functor of probability measures; projectively closed functor; finitary functor; functor of probability measures
UR - http://eudml.org/doc/248802
ER -