The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebras
We discuss the monad associated with the topology of pointwise convergence. We also study examples of the Eilenberg-Moore algebras for this monad.
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202109215 |
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| _version_ | 1850214709944385536 |
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| author | Koena R. Nailana |
| author_facet | Koena R. Nailana |
| author_sort | Koena R. Nailana |
| collection | DOAJ |
| description | We discuss the monad associated with the topology of pointwise
convergence. We also study examples of the Eilenberg-Moore
algebras for this monad. |
| format | Article |
| id | doaj-art-80ee122bbe3742589d783d76fd4b883b |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-80ee122bbe3742589d783d76fd4b883b2025-08-20T02:08:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01311062763310.1155/S0161171202109215The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebrasKoena R. Nailana0Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0003, South AfricaWe discuss the monad associated with the topology of pointwise convergence. We also study examples of the Eilenberg-Moore algebras for this monad.http://dx.doi.org/10.1155/S0161171202109215 |
| spellingShingle | Koena R. Nailana The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebras International Journal of Mathematics and Mathematical Sciences |
| title | The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebras |
| title_full | The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebras |
| title_fullStr | The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebras |
| title_full_unstemmed | The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebras |
| title_short | The monad induced by the hom-functor in the category of topological spaces and its associated Eilenberg-Moore algebras |
| title_sort | monad induced by the hom functor in the category of topological spaces and its associated eilenberg moore algebras |
| url | http://dx.doi.org/10.1155/S0161171202109215 |
| work_keys_str_mv | AT koenarnailana themonadinducedbythehomfunctorinthecategoryoftopologicalspacesanditsassociatedeilenbergmoorealgebras AT koenarnailana monadinducedbythehomfunctorinthecategoryoftopologicalspacesanditsassociatedeilenbergmoorealgebras |