Abstract
The purpose of the paper is to extend the notions of splitting and jointly continuous topologies on function spaces to products of spaces, to present a new theory of duality between topologies on function spaces and topologies on products of spaces, and to generalize these theories to bitopological spaces. The author starts from the definitions well known in the literature. Bibliography: 1 title.
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References
D. N. Georgiu, S. D. Iliadis, and B. K. Papadopoulos, “Topologies on function spaces,”Zap. Nauchn. Semin. POMI,208, 82–97 (1993).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 242, 1997, pp. 217–229.
Translated by N. Yu. Netsvetaev.
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Ivanov, A.A. Bitopologies on products and ratios. J Math Sci 98, 617–623 (2000). https://doi.org/10.1007/BF02355743
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DOI: https://doi.org/10.1007/BF02355743