| Title:
|
On the functor of order-preserving functionals (English) |
| Author:
|
Radul, T. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
609-615 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce a functor of order-preserving functionals which contains some known functors as subfunctors. It is shown that this functor is weakly normal and gene\-rates a monad. (English) |
| Keyword:
|
order-preserving functional |
| Keyword:
|
monad |
| MSC:
|
18C15 |
| MSC:
|
54B30 |
| MSC:
|
54C35 |
| idZBL:
|
Zbl 0962.54009 |
| idMR:
|
MR1666806 |
| . |
| Date available:
|
2009-01-08T18:46:46Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119037 |
| . |
| Reference:
|
[1] Shchepin E.V.: Functors and uncountable powers of compacta (in Russian).Uspekhi Mat. Nauk 36 (1981), 3-62. MR 0622720 |
| Reference:
|
[2] Fedorchuk V.V., Filippov V.V.: General Topology. Fundamental Constructions (in Russian).Moscow (1988), 252. |
| Reference:
|
[3] Fedorchuk V.V., Zarichnyi M.M.: Covariant functors in categories of topological spaces (in Russian).Results of Science and Technics. Algebra. Topology. Geometry 28 Moscow, VINITI 47-95. MR 1059477 |
| Reference:
|
[4] Eilenberg S., Moore J.: Adjoint functors and triples.(1965), 9 Illinois J. Math. 381-389. Zbl 0135.02103, MR 0184984 |
| Reference:
|
[5] Radul T., Zarichnyi M.M.: Monads in the category of compacta (in Russian).Uspekhi Mat.Nauk (1995), 50 3 83-108. MR 1349320 |
| Reference:
|
[6] Shapiro L.B.: On function extension operators and normal functors (in Russian).Vestnik Mosk. Univer. Ser.1 (1992), 1 35-42. MR 1214589 |
| Reference:
|
[7] Engelking R.: General Topology.Warszawa (1978). |
| Reference:
|
[8] Radul T.: On functional representations of Lawson monads.to appear. MR 1865611 |
| . |
