Geodesic
$\lambda$-topologies on function spaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 2, pp. 3-56.

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This paper is devoted to the spaces $C_{\lambda}(X)$ of all continuous real-valued functions on $X$ endowed with arbitrary $\lambda$-topologies. This is a fairly complete survey of the results obtained by the author in the following domains of the theory of $\lambda$-topologies: cardinal functions; locally convex properties; weak and strong topologies; dual spaces; lattices of $\lambda$-topologies; completeness. 
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N. V. Velichko. $\lambda$-topologies on function spaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 2, pp. 3-56. http://geodesic.mathdoc.fr/item/FPM_2003_9_2_a0/

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