Geodesic
On a set of $E$-closed classes of multifunctions on a two-element set
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 214 (2022), pp. 30-36

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In this paper, we consider closed classes of multifunctions defined on a two-element set and their closure operator based on the composition operator by union and the equality predicate branching operator. We show that the set of multifunctions that does not take the value of zero at any set of variables contains 76 E-closed classes.
Keywords: closure, equality predicate, multifunction, closed set, precomplete set.
Mots-clés : composition 
@article{INTO_2022_214_a2,
     author = {A. S. Zinchenko and B. P. Ilyin and V. I. Panteleev and L. V. Ryabets},
     title = {On a set of $E$-closed classes of multifunctions on a two-element set},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {30--36},
     publisher = {mathdoc},
     volume = {214},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_214_a2/}
}
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A. S. Zinchenko; B. P. Ilyin; V. I. Panteleev; L. V. Ryabets. On a set of $E$-closed classes of multifunctions on a two-element set. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 214 (2022), pp. 30-36. http://geodesic.mathdoc.fr/item/INTO_2022_214_a2/