Geodesic
Algebraic structures on the space of continuous maps
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 47-53
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We study properties of the family $\lambda$ at which the set $C(X,Y)$ of all continuous mappings from a Tychonoff space $X$ into a metrizable topological vector space $Y$ equipped with the (weak) set-open topology is a topological group.
Keywords: set-open topology, weak set-open topology, topological group, $C$-compact subset, paratopological group. 
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A. V. Osipov. Algebraic structures on the space of continuous maps. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 47-53. http://geodesic.mathdoc.fr/item/VTGU_2012_1_a5/

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