On extension of contravariant functors onto the Kleisli category |
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| Author |
Lviv State University, Department of Mechanics and Mathematics
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| Abstract |
We consider the problem of extending contravariant functors
onto the category Kleisli of a monad. The results are applied to the monad
in the category of Tychonov spaces generated by the second iteration
of the functor $C_p$ (the space of functions in the topology of pointwise
convergence).
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| Keywords |
contravariant functors, extension of functors, Kleisli category, monad, Tychonov spaces
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| DOI |
doi:10.30970/ms.9.2.125-129
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Reference |
1. Barr M., Wells Ch. Toposes, triples and theories,addr Berlin, Springer-Verlag - 1985
2. PZ Pikhurko O.B., Zarichnyi M.M. On lifting of functors to the Eilenberg-Moore category of the triple generated by the functor $C_pC_p$ // Ukr. Math. J. --1992 V.44 №9 p.1290--1292 3. V Vinárek J On extensions of functors to the Kleisli category // Comment. Math. Univ. Carolinae– 1977 V.18 №2 p. 319–327 4. Z Zarichnyi M.M. Topology of functors and monads in the category of compacta ,addr Kiev, Institute of System Investigations– 1993 |
| Pages |
125-129
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| Volume |
9
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| Issue |
2
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| Year |
1998
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| Journal |
Matematychni Studii
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