Article
Full entry |
PDF
(0.1 MB)
Feedback
PDF
(0.1 MB)
Feedback
Keywords:
order-preserving functional; monad
order-preserving functional; monad
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.
References:
[1] Shchepin E.V.: Functors and uncountable powers of compacta (in Russian). Uspekhi Mat. Nauk 36 (1981), 3-62. MR 0622720
[2] Fedorchuk V.V., Filippov V.V.: General Topology. Fundamental Constructions (in Russian). Moscow (1988), 252.
[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
[4] Eilenberg S., Moore J.: Adjoint functors and triples. (1965), 9 Illinois J. Math. 381-389. MR 0184984 | Zbl 0135.02103
[5] Radul T., Zarichnyi M.M.: Monads in the category of compacta (in Russian). Uspekhi Mat.Nauk (1995), 50 3 83-108. MR 1349320
[6] Shapiro L.B.: On function extension operators and normal functors (in Russian). Vestnik Mosk. Univer. Ser.1 (1992), 1 35-42. MR 1214589
[7] Engelking R.: General Topology. Warszawa (1978).
[8] Radul T.: On functional representations of Lawson monads. to appear. MR 1865611
Search
Partner of
