Geodesic
Factorization of the Space of Condensers and the Kernel Convergence
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 3-23

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The factorization of the space of condensers in a regular connect and locally connect topological space under the equivalence relation generated by the operation of filling of condenser's plates is considered. The kernel convergence for a filtered family of condensers is defined using the notions of the upper topological limit and the filling operation. The relation between the kernel convergence and the convergence in the factor-topology is described. There are also described the filtered families of condensers for which the both types of convergence are equivalent. 
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     author = {V. V. Aseev},
     title = {Factorization of the {Space} of {Condensers} and the {Kernel} {Convergence}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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     number = {1},
     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_1_a0/}
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V. V. Aseev. Factorization of the Space of Condensers and the Kernel Convergence. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 3-23. http://geodesic.mathdoc.fr/item/VNGU_2009_9_1_a0/