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.
@article{119037, author = {Taras Radul}, title = {On the functor of order-preserving functionals}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {39}, year = {1998}, pages = {609-615}, zbl = {0962.54009}, mrnumber = {1666806}, language = {en}, url = {http://dml.mathdoc.fr/item/119037} }
Radul, Taras. On the functor of order-preserving functionals. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 609-615. http://gdmltest.u-ga.fr/item/119037/
Functors and uncountable powers of compacta (in Russian), Uspekhi Mat. Nauk 36 (1981), 3-62. (1981) | MR 0622720
General Topology. Fundamental Constructions (in Russian), Moscow (1988), 252. (1988)
Covariant functors in categories of topological spaces (in Russian), Results of Science and Technics. Algebra. Topology. Geometry 28 Moscow, VINITI 47-95. | MR 1059477
Adjoint functors and triples, (1965), 9 Illinois J. Math. 381-389. (1965) | MR 0184984 | Zbl 0135.02103
Monads in the category of compacta (in Russian), Uspekhi Mat.Nauk (1995), 50 3 83-108. (1995) | MR 1349320
On function extension operators and normal functors (in Russian), Vestnik Mosk. Univer. Ser.1 (1992), 1 35-42. (1992) | MR 1214589
General Topology, Warszawa (1978). (1978)
On functional representations of Lawson monads, to appear. | MR 1865611