Geodesic
Weakly set-open topology
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 167-176

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The properties of the weakly set-open topology on the set $C(X)$ of all real-valued functions defined on a Tikhonov space $X$ are studied. The relation between the $\mathbb R$-compact-open topology and the well-known set-open and uniform topologies on the set $C(X)$ is investigated.
Keywords: space of continuous functions, set-open topology, topology of uniform convergence on a family of sets. 
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     author = {A. V. Osipov},
     title = {Weakly set-open topology},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a14/}
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A. V. Osipov. Weakly set-open topology. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 167-176. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a14/