Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 1, pp. 39-47
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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/
@article{FPM_1998_4_1_a2,
author = {N. V. Velichko},
title = {On sequential completeness of~$C_{\lambda}(X)$},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {39--47},
year = {1998},
volume = {4},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a2/}
}
TY - JOUR
AU - N. V. Velichko
TI - On sequential completeness of $C_{\lambda}(X)$
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1998
SP - 39
EP - 47
VL - 4
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a2/
LA - ru
ID - FPM_1998_4_1_a2
ER -
%0 Journal Article
%A N. V. Velichko
%T On sequential completeness of $C_{\lambda}(X)$
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1998
%P 39-47
%V 4
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1998_4_1_a2/
%G ru
%F FPM_1998_4_1_a2
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 $\lambda$.
