Geodesic
Capacity functor in the category of compacta
Sbornik. Mathematics, Tome 199 (2008) no. 2, pp. 159-184

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Spaces of upper-semicontinuous capacities on compacta are studied. It is proved that the capacity functor defines a monad in the category of compacta containing the monad of inclusion hyperspaces as a submonad. In addition, a metrization of the space of capacities of a compact metric space is defined. It is also proved that the capacity functor is open. Bibliography: 17 titles. 
@article{SM_2008_199_2_a0,
     author = {M. M. Zarichnyi and O. R. Nykyforchyn},
     title = {Capacity functor in the category of compacta},
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     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2008_199_2_a0/}
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M. M. Zarichnyi; O. R. Nykyforchyn. Capacity functor in the category of compacta. Sbornik. Mathematics, Tome 199 (2008) no. 2, pp. 159-184. http://geodesic.mathdoc.fr/item/SM_2008_199_2_a0/