$\infty$--open--multicommutativity in the category COMP |
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| Author |
Roman.Kozhan@wbs.ac.uk.
Department of Geometry and Topology, Mechanics and Mathematics,Faculty, Lviv National University, Universytetska 1, 79000 Lviv, Ukraine,
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| Abstract |
In this paper the notion of $\infty$-open-multicommutativity of functors in the category of compact Hausdorff spaces is considered. This property is a generalization of the open-multicommutativity on the case of infinite diagrams. It is proved that every open-multicommutative functor is $\infty$-open-multicommutative.
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| Keywords |
functor, compact Hausdorff space, open-multicommutativity, infinite diagram
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| DOI |
doi:10.30970/ms.28.2.217-220
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Reference |
1. R. V. Kozhan, M. M. Zarichnyi, Open--multicommutativity of the probability measure functor, preprint, (2004).
2. E. Shchepin, Functors and uncountable powers of compacta, Uspekhi Mat. Nauk. 36, (1981), № 3, 3--62 (in Russian). 3. M. M. Zarichnyi, Characterization of G--symmetric power and extension of functors onto Kleisli Categories, Mat. Zametki. 52, (1992), № 5, 42--48 (in Russian). 4. M. M. Zarichnyi, Correspondences of probability measures with restricted marginals revisited, preprint, (2003). |
| Pages |
217-220
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| Volume |
28
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| Issue |
2
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| Year |
2007
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| Journal |
Matematychni Studii
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| Full text of paper | |
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