Problems of the theory of bitopological spaces.~2
Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 5-67

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The paper is a continuation of the preceding authors's paper “Problems of the theory of bitopological spaces” (Zap. Nauchn. Semin LOMI, 1988, 167, 5–62, translated in J. of Soviet Mathematics, 1990, 52, № 1, 2759–2790). It contains a servey of recent results on bitopology, some new results, new problems and new approaches to some old problems.
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A. A. Ivanov. Problems of the theory of bitopological spaces.~2. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 7, Tome 208 (1993), pp. 5-67. http://geodesic.mathdoc.fr/item/ZNSL_1993_208_a0/