Geodesic
Dimension of Extremal Boundary of the Space of Semiadditive Functionals
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 74-80

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In the paper, the extremal boundary of the space of weakly additive, order-preserving, normalized, positive-homogeneous, and semiadditive functionals on a compact set is studied. The dimension of the extremal boundary of the convex compact $OS(\mathbf{n})$ is found.
Keywords: weakly additive functional, functor.
Mots-clés : dimension 
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     author = {G.F.Djabbarov},
     title = {Dimension of {Extremal} {Boundary} of the {Space} of {Semiadditive} {Functionals}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {74--80},
     publisher = {mathdoc},
     volume = {144},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_144_a7/}
}
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G.F.Djabbarov. Dimension of Extremal Boundary of the Space of Semiadditive Functionals. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 74-80. http://geodesic.mathdoc.fr/item/INTO_2018_144_a7/