Geodesic
Relatively compact extensions and generalized proximities
Problemy analiza, no. 4 (1997), pp. 76-84.

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$OK$-extensions were defined in [2]. In this paper a description of all $OK$-extensions of a completely regular space $X$ in terms of generalized proximities is obtained. It is proved, that a continuous mapping $f: X\to Y$ has a theta-continuous extension to $OK$-extensions of $X$ and $Y$ if and only if $f$ is proximally continuous. 
@article{PA_1997_4_a4,
     author = {A. V. Ivanov},
     title = {Relatively compact extensions and generalized proximities},
     journal = {Problemy analiza},
     pages = {76--84},
     publisher = {mathdoc},
     number = {4},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PA_1997_4_a4/}
}
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A. V. Ivanov. Relatively compact extensions and generalized proximities. Problemy analiza, no. 4 (1997), pp. 76-84. http://geodesic.mathdoc.fr/item/PA_1997_4_a4/