Abstract
Let S be an arbitrary topological space, and let C(S) be the space of continuous real-valued functions on S. A certain class of topologies on C(S) is studied. Some cases are indicated in which topologies of a given class on C(S) are topologies of uniform convergence on compact sets of S.
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Translated from Matematicheskie Zametki, Vol. 11, No. 2, pp. 201–208, February, 1972.
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Perepechai, I.I. Class of topologies in spaces of continuous functions. Mathematical Notes of the Academy of Sciences of the USSR 11, 125–128 (1972). https://doi.org/10.1007/BF01097930
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DOI: https://doi.org/10.1007/BF01097930