Geodesic
Convergence and divergence sets of sequences of real continuous functions on a~metric space
Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 205-217

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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 $p(x, y)=|x-y|$. 
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     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},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a3/}
}
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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/