Geodesic
On the number closure-type mappings
Diskretnaya Matematika, Tome 16 (2004) no. 2, pp. 85-97

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In this paper, we consider mappings of Cartesian powers $S^n$ of an arbitrary partially ordered set $S$ into itself which possess the main properties of closures. For each partially ordered set, we describe the asymptotic behaviour of the logarithm of the number of such mappings as $n\to\infty$.This research was supported by the Russian Foundation for Basic Research, grant 03–01–00783. 
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     author = {V. B. Alekseev},
     title = {On the number closure-type mappings},
     journal = {Diskretnaya Matematika},
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     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2004_16_2_a5/}
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V. B. Alekseev. On the number closure-type mappings. Diskretnaya Matematika, Tome 16 (2004) no. 2, pp. 85-97. http://geodesic.mathdoc.fr/item/DM_2004_16_2_a5/