On extension of functors to the Kleisli category of some weakly normal monads

Andrii Teleiko

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 2, page 405-410
  • ISSN: 0010-2628

Abstract

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The problem of extension of normal functors to the Kleisli categories of the inclusion hyperspace monad and its submonads is considered. Some negative results are obtained.

How to cite

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Teleiko, Andrii. "On extension of functors to the Kleisli category of some weakly normal monads." Commentationes Mathematicae Universitatis Carolinae 37.2 (1996): 405-410. <http://eudml.org/doc/247872>.

@article{Teleiko1996,
abstract = {The problem of extension of normal functors to the Kleisli categories of the inclusion hyperspace monad and its submonads is considered. Some negative results are obtained.},
author = {Teleiko, Andrii},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {monad; Kleisli category; weakly normal functor; inclusion hyperspace; superextension; weakly normal functor; inclusion hyperspace monad; Kleisli category},
language = {eng},
number = {2},
pages = {405-410},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On extension of functors to the Kleisli category of some weakly normal monads},
url = {http://eudml.org/doc/247872},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Teleiko, Andrii
TI - On extension of functors to the Kleisli category of some weakly normal monads
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 2
SP - 405
EP - 410
AB - The problem of extension of normal functors to the Kleisli categories of the inclusion hyperspace monad and its submonads is considered. Some negative results are obtained.
LA - eng
KW - monad; Kleisli category; weakly normal functor; inclusion hyperspace; superextension; weakly normal functor; inclusion hyperspace monad; Kleisli category
UR - http://eudml.org/doc/247872
ER -

References

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  1. Eilenberg S., Moore J.S., Adjoint functors and triples, III, J. Math. 9 (1965), 381-398. (1965) MR0184984
  2. Zarichnyi M.M., On covariant topological functors, I, Q&A in General Topology 8 (1990), 317-369. (1990) Zbl0707.54010MR1065284
  3. Vinárek J., Projective monads and extensions of functors, Math. Centr. Afd. 195 (1983), 1-12. (1983) MR0733105
  4. Radul T., The inclusion hyperspace monad and its algebra (in Russian), Ukr. Mat. J. 42.6 (1990), 806-811. (1990) MR1071155
  5. van Mill J., Superextensions and Wallman spaces, MCTracts, Amsterdam, 1977. 
  6. Shchepin E.V., Functors and countable powers of compacta (in Russian), Uspekhi Mat. Nauk 36 (1981), 3-62. (1981) MR0622720
  7. Zarichnyi M.M., Teleiko A.B., Semigroups and monads (in Ukrainian), preprint. 
  8. Zarichnyi M.M., Profinite multiplicativity of functors and characterization of projective monads on category compacta (in Russian), Ukr. Mat. J. 42.9 (1990), 1271-1275. (1990) MR1093642
  9. Fedorchuk V.V., Covariant functors in the category of compacta, absolute retracts and Q -manifolds (in Russian), Uspekhi Mat. Nauk 36 (1981), 177-195. (1981) MR0622724
  10. Zarichnyi M.M., Characterization G -symmetric power functor and extensions of functors to the Kleisli categories (in Russian), Matem. Zametki 5 (1992), 42-48. (1992) MR1201947
  11. Zarichnyi M.M., Topology of Functors and Monads in the Category of Compacta (in Ukrainian), Institute of Research in Education, Kiev, 1993. 

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