Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 205-217
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M. A. Lunina. Convergence and divergence sets of sequences of real continuous functions on a metric space. Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 205-217. http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a3/
@article{MZM_1975_17_2_a3,
author = {M. A. Lunina},
title = {Convergence and divergence sets of sequences of real continuous functions on a~metric space},
journal = {Matemati\v{c}eskie zametki},
pages = {205--217},
year = {1975},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a3/}
}
TY - JOUR
AU - M. A. Lunina
TI - Convergence and divergence sets of sequences of real continuous functions on a metric space
JO - Matematičeskie zametki
PY - 1975
SP - 205
EP - 217
VL - 17
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a3/
LA - ru
ID - MZM_1975_17_2_a3
ER -
%0 Journal Article
%A M. A. Lunina
%T Convergence and divergence sets of sequences of real continuous functions on a metric space
%J Matematičeskie zametki
%D 1975
%P 205-217
%V 17
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a3/
%G ru
%F MZM_1975_17_2_a3
A general theorem is proved describing convergence and divergence sets of real continuous functions defined on a metric space $E$. A result is obtained that is new even for $E=[0,1]$ with distance $p(x, y)=|x-y|$.
