| Title:
|
On extension of functors to the Kleisli category of some weakly normal monads (English) |
| Author:
|
Teleiko, A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
405-410 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
monad |
| Keyword:
|
Kleisli category |
| Keyword:
|
weakly normal functor |
| Keyword:
|
inclusion hyperspace |
| Keyword:
|
superextension |
| MSC:
|
18C20 |
| MSC:
|
54B30 |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 0852.54023 |
| idMR:
|
MR1399014 |
| . |
| Date available:
|
2009-01-08T18:24:34Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118844 |
| . |
| Reference:
|
[1] Eilenberg S., Moore J.S.: Adjoint functors and triples, III.J. Math. 9 (1965), 381-398. MR 0184984 |
| Reference:
|
[2] Zarichnyi M.M.: On covariant topological functors, I.Q&A in General Topology 8 (1990), 317-369. Zbl 0707.54010, MR 1065284 |
| Reference:
|
[3] Vinárek J.: Projective monads and extensions of functors.Math. Centr. Afd. 195 (1983), 1-12. MR 0733105 |
| Reference:
|
[4] Radul T.: The inclusion hyperspace monad and its algebra (in Russian).Ukr. Mat. J. 42.6 (1990), 806-811. MR 1071155 |
| Reference:
|
[5] van Mill J.: Superextensions and Wallman spaces.MCTracts, Amsterdam, 1977. |
| Reference:
|
[6] Shchepin E.V.: Functors and countable powers of compacta (in Russian).Uspekhi Mat. Nauk 36 (1981), 3-62. MR 0622720 |
| Reference:
|
[7] Zarichnyi M.M., Teleiko A.B.: Semigroups and monads (in Ukrainian).preprint. |
| Reference:
|
[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. MR 1093642 |
| Reference:
|
[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. MR 0622724 |
| Reference:
|
[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. MR 1201947 |
| Reference:
|
[11] Zarichnyi M.M.: Topology of Functors and Monads in the Category of Compacta (in Ukrainian).Institute of Research in Education, Kiev, 1993. |
| . |
