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An involution map for the functional monad |
| Author |
T. Radul, V. Shomodi
tarasradul@yahoo.co.uk,
Lviv National University, Institute of Mathematics, Casimirus the Great University
Bydgoszcz, Poland
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| Abstract |
We introduce an involution map for the functional monad which generalizes the transversa-
lity map for the inclusion hyperspace monad and the conjugation map for the capacity monad. |
| Keywords |
involution; monad; capacity; inclusion hyperspace |
| Reference |
1. Teleiko A., Zarichnyi M. Categorical Topology of Compact Hausdorff Spaces. - VNTL Publishers. Lviv,
1999.
2. Zarichnyj M.M., Nykyforchyn O.R. Capacity functor in the category of compacta// Mat. Sb. – 2008. –
V.199. – P. 3–26.
3. Radul T. On functional representations of Lawson monads// Applied Categorical Structures. – 2001. –
V.9. – P. 457–463.
4. Radul T. A functional representation of capacity monad// Topology. – 2009. – V.48. – P. 100–104.
5. Eilenberg S., Moore J. Adjoint functors and triples// Ill. J. Math. – 1965. – V.9. – P. 381–389.
6. Radul T. On strongly Lawson and I-Lawson monads// Boletin de Matematicas. – 1999. – V.6. – P. 69–76.
7. Radul T. On the functor of order-preserving functionals// Comm. Math. Univ. of Carolinae. – 1998. –
V.39. – P. 609–615.
8. Radul T. Monad of hyperspaces of inclusion and its algebras// Ukr. Mat. Zh. – 1990. – V.42. – P. 806–812.
(in Russian)
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| Pages |
29-33 |
| Volume |
37 |
| Issue |
1 |
| Year |
2012 |
Journal |
Matematychni Studii |
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