On the functor of order-preserving functionals

Taras Radul

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 3, page 609-615
  • ISSN: 0010-2628

Abstract

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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 generates a monad.

How to cite

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Radul, Taras. "On the functor of order-preserving functionals." Commentationes Mathematicae Universitatis Carolinae 39.3 (1998): 609-615. <http://eudml.org/doc/248220>.

@article{Radul1998,
abstract = {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 generates a monad.},
author = {Radul, Taras},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {order-preserving functional; monad; order-preserving functional; monad},
language = {eng},
number = {3},
pages = {609-615},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the functor of order-preserving functionals},
url = {http://eudml.org/doc/248220},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Radul, Taras
TI - On the functor of order-preserving functionals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 3
SP - 609
EP - 615
AB - 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 generates a monad.
LA - eng
KW - order-preserving functional; monad; order-preserving functional; monad
UR - http://eudml.org/doc/248220
ER -

References

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  1. Shchepin E.V., Functors and uncountable powers of compacta (in Russian), Uspekhi Mat. Nauk 36 (1981), 3-62. (1981) MR0622720
  2. Fedorchuk V.V., Filippov V.V., General Topology. Fundamental Constructions (in Russian), Moscow (1988), 252. (1988) 
  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. MR1059477
  4. Eilenberg S., Moore J., Adjoint functors and triples, (1965), 9 Illinois J. Math. 381-389. (1965) Zbl0135.02103MR0184984
  5. Radul T., Zarichnyi M.M., Monads in the category of compacta (in Russian), Uspekhi Mat.Nauk (1995), 50 3 83-108. (1995) MR1349320
  6. Shapiro L.B., On function extension operators and normal functors (in Russian), Vestnik Mosk. Univer. Ser.1 (1992), 1 35-42. (1992) MR1214589
  7. Engelking R., General Topology, Warszawa (1978). (1978) 
  8. Radul T., On functional representations of Lawson monads, to appear. MR1865611

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