On sequential completeness of~$C_{\lambda}(X)$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 39-47.

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We have obtained a criterion of sequential completeness of the space $C_{\lambda}(X)$ of all continuous real-valued function on $X$ in the topology of uniform convergence on elements of $\lambda$.
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     title = {On sequential completeness of~$C_{\lambda}(X)$},
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N. V. Velichko. On sequential completeness of~$C_{\lambda}(X)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 39-47. http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a2/